Find the volume of the composite solid. Round your answer to the nearest hundredth.

Find The Volume Of The Composite Solid. Round Your Answer To The Nearest Hundredth.

Answers

Answer 1

Answer:

Volume of solid = 737 cm³ (Approx)

Step-by-step explanation:

Given:

Radius r = 4 cm

Length of cylinder = 12 cm

Find:

Volume of solid

Computation:

Volume of solid = Volume of hemisphere + Volume of cylinder

Volume of solid = (2/3)πr³ + πr²h

Volume of solid = (2/3)π(4)³ + π(4)²(12)

Volume of solid = 134 + 603

Volume of solid = 737 cm³ (Approx)

Answer 2

Answer:

737.23

Step-by-step explanation:

formua for sphere:

V = 4/3 πr^3

so the volume would be 268.08

divide by 2 bc its only half of a sphere

you get 134.04

formula for cylinder:

V = πr^2h

so the vlume would be 603.19

add the volumes together you get 737.23


Related Questions

A meal costs $30 before tax and tip. There is a 7% sales tax. After the tax, a 20% tip is added. What is the total after tax and tip?​

Answers

Answer:

The total is $38.1

Step-by-step explanation:

The tax is $2.1, The tip is $6.

Percentage is the part of the whole expressed in the fraction of hundred.

The total cost of the meal after the tip and tax is $38.1.

What is percentage of a number?

Percentage of a number or ratio expressed in the form of fraction of hundred.

Given information-

The total cost of meal before tax and tip is $30.

The total sales tax is 7%.

The tip added to the cost of meal is 20%.

As, the total sales tax is 7% and cost of the meal is $30. Thus the total sales tax amount is,

[tex]s_t=30\times\dfrac{7}{100} \\s_t=2.1[/tex]

Thus the amount of sales tax is 2.1.

As the the tip added to the cost of meal is 20% and the cost of the meal is 32.1 after the tax. Thus the amount of meal after the 20 % tip is,

[tex]s_t=30\times\dfrac{20}{100} \\s_t=6.00[/tex]

The amount of the tip of the meal after the tax is $6.00.

The cost of meal after the tip and tax is,

[tex]C=30+2.1+6\\C=38.1[/tex]

Hence the total cost of the meal after the tip and tax is $38.1.

Learn more about the percentage of a number here;

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I want to get as many bags of chips as possible to each cost $2 I also told my mom I would get her a carton of eggs eggs cost $5 I have $25 total create an equation to represent the scenerio and figure out how many chips I can buy

Answers

Answer:

y(total)=2x+5

Step-by-step explanation:

Answer:

2x+5=25 I think.......

John wrote that 5+5=10. Then he wrote that 5+5+n=10+n. Are the equations John wrote equivalent? Explain (in your solution justify by stating what property of equality he used).

Answers

Answer:

They are equivalent

Step-by-step explanation:

n would equal the same, and 10 and 5+5 equal the same. Therefore, whatever n is, they will be equal no matter what. Unless you subtract the n from one side and add on the other.

Answer:

Step-by-step explanation:

yesh

Abdul rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 90 cents for each mile driven. Abdul had to pay
$213.39 when he returned the truck. For how many miles did he drive the truck?

Answers

Abdul drove 216 miles. 213.39-18.99=194.4/.90=216

Simplify the expression. Those are the options.

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A.) 42s - 63

Step-by-step explanation:

7 - 7(-6s + 10)

7 + 42s - 70

42s + 7 - 70

42s - 63

HELP ME WITH THIS! 1/3 a = 7/9

Answers

Answer:

a = 2 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] a = [tex]\frac{7}{9}[/tex]

Multiply both sides by 9 ( the LCM of 3 and 9 ) to clear the fractions

3a = 7 ( divide both sides by 3 )

a = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]

It should be 2 1/3......

One side of each pentagon lies along a side of the octagon.
AB is a side of the octagon.
AC is a side of one of the pentagons.
BC is a side of the other pentagon.
Work out the size of angle y.
Show your working clearly.

Answers

Answer:

The size of angle y is 126°

Step-by-step explanation:

From the diagram of the regular polygons, we have;

One side of each pentagon lies along a side of the octagon

The interior angle of the octagon > The interior angle of the pentagon

Each interior angle of a regular pentagon = 108°

Each interior angle of a regular octagon = 135°

Therefore, ∠ABC = 135° - 108° = 27°

Similarly, ∠BAC = 135° - 108° = 27°

Therefore, by triangle the angle sum theorem, we have;

∠y = ∠ACB = 180° - ∠BAC - ∠ABC = 180° - 27° - 27° = 126°

The size of angle y, ∠y = 126°.

plsss help me with this one I'm very confused​

Answers

Answer:

The correct answer is: Option D: [tex]t = 5s + \frac{s}{2}[/tex]

Step-by-step explanation:

Given that

Weight of snail is s

We have to use the given statements to write the mathematical expression

The snail drank water 5 times of its weight

So the quantity of water will be 5s

And it ate half of its weight's food which will be s/2

The combined weight of water and food will be:

[tex]t = 5s + \frac{s}{2}[/tex]

Hence,

The correct answer is: Option D: [tex]t = 5s + \frac{s}{2}[/tex]

what’s the answer i need help? Find slope using triangles and rise over run

Answers

Answer:

slope is 1/3

Step-by-step explanation:

notice the points on the line, from the first point go one square up and three to the right, thats how i got 1/3    

Which fraction is equivalent to 1/3?
1/3 1/3 1/3



A. 3/6

B. 2/6

C. 1/6

D.4/6​

Answers

Answer: B. 2/6

* Hopefully this helps:) Mark me the brainliest!!

A historic museum charges a rental fee plus $3 per hour for an audio tour guide. The total cost for 4 hours is $15. The total cost for 2 hours is 9. Construct a linear equation in y = mx + b format.

Answers

Answer:

27

Step-by-step explanation:

The image of the point (2,−8) under a translation is (−2,−6). Find the coordinates of the image of the point (5,2) under the same translation.

Answers

Answer:To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Step-by-step explanation:This all i can remember to help you out

1. Solve the equation. Round to the nearest hundredth.

Answers

Answer:

10.31

Step-by-step explanation:

If 0.776 = 8/x and we want to solve for x, invert both sides of the equation to obtain

x/8 = 1/0.776, which becomes

x = 8/0.776 = 10.31 (to the nearest hundredth)

People In town voted for a new councillor

Answers

Answer:

what's your question???

I can't understand:-//

Brian has 2 parents, 4 grandparents, 8 great-grandparents, and so on.

a. Write an explicit formula for the number of
ancestors Brian has in a generation if
he goes back to the nth generation.

b. Write a recursive formula for the number of
ancestors Brian has in a generation if
he goes back to the nth generation.

(PLEASE EXPLAIN WHY)

Answers

Answer: Assuming the ancestors are distinct (very unlikely), each generation is double the size of the following generation. So

15

generations back will be

2

15

=

32768

ancestors.

Find the surface area of this triangular prism.

Answers

Answer:

96

Step-by-step explanation:

A=Area

Using the formulas

[tex]A= 2A_{b} +(a+b+c)h\\A_{b} = \sqrt{s(s-8)(s-10)(s-6)} \\s= \frac{8+10+6}{2}[/tex]

Solving for A

[tex]A=ah+bh+ch+\frac{1}{2}*\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]

[tex]A=8(2)+10(2)+6(2)+\frac{1}{2}*\sqrt{-8^{4} +2*(8*10)^{2} +2*(8*6)^{2}-10^{4} +2*(10*6)^{2}-6^{4} }[/tex][tex]A=96[/tex]

Bernard fait du vélo. Il roule pendant 1h20 min à la vitesse de 12 km/m.
Quelle distance parcourt-il?

Answers

Answer: 16 km

Step-by-step explanation:

1 h 20= 80 min

En 60 min il fait 12 km

En 80 min il fait 16 km

What is 2896.9874 rounded to the nearest hundredth?

Answers

2896.99 because the hundredth is the second number after decimal point

can some one solve this (squar roots) ​

Answers

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex] = 4[tex]\sqrt{6}[/tex]

[tex]\sqrt{24}[/tex]

= [tex]\sqrt{4(6)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]

Thus

[tex]\sqrt{96}[/tex] + 2[tex]\sqrt{6}[/tex] - 2[tex]\sqrt{24}[/tex]

= 4[tex]\sqrt{6}[/tex] + 2[tex]\sqrt{6}[/tex] - 4[tex]\sqrt{6}[/tex] ← collect like terms

= 2[tex]\sqrt{6}[/tex]

Answer:

[tex]2 \sqrt{6} [/tex]

Step-by-step explanation:

to understand the solving stepsyou need to know aboutsimplifying redicalPEMDAS

first thing

in your question about 70% is done so need to simplify it a little

[tex] \sqrt{96} + 2 \sqrt{6} - 2\sqrt{24} [/tex]

[tex] \sqrt{ {4}^{2} \times 6 } + 2\sqrt{6} - 2 \sqrt{2 ^{2} \times 6 } [/tex]

[tex]4 \sqrt{6} + 2 \sqrt{6} - 4 \sqrt{6} [/tex]

[tex]2 \sqrt{6} [/tex]

F(x)=3x+1 and g(x) = square root of x-1 find (fog)(5)

Answers

Answer:

The answer is [15(√x - 1) + 5].

Step-by-step explanation:

(fog)(5) = [3(√x-1) + 1] (5)

= [3(√x - 1) +1] (5)

= 15(√x - 1) + 5

(REPOST)
Amaia walks from her home to the bank, then to the park, and then to get groceries before heading home. The path she travels is in the shape of a parallelogram and is shown in the diagram below. How many total meters did Amaia walk?

15 points to whoever answers correctly and brainliest!

Help! I need some explanation here!

Answers

Answer:

So its is pretty straight forward (answer at the bottom)

First of all 2 sides of a parrleogram are the dame and the other 2 are different from the first but the opposites are the same

So lets start with The distance from home to bank

x+9 is the distance since its the opposite

Now the other side is 2x+1

The third side is x+9

the fourth side is x+5, it is different from 2x+1 but its just written differently.

Now add them all up

2x+1+x+9+x+5+x+9=

5x+24

So the amount fo meters are 5x+24

The distance covered by Amaia is 5x+24 meters.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given that, Amaia walks out and covers a distance in a shape of parallelogram,

Therefore, the opposite sides will be equal,

To find the distance covered we will find the perimeter of the parallelogrammical way,

P = x+9+x+9+x+5+2x+1

P = 5x+24

Hence, the distance covered by Amaia is 5x+24 meters.

Learn more about parallelogram, click;

https://brainly.com/question/29147156

#SPJ3

which table represents a function please help

Answers

Answer:

Third table [tex]m = \frac{-3}{4}[/tex]

The slope of the line

[tex]m = \frac{-3}{4}[/tex]

The equation of the straight line

 3 x + 4y = 0

Step-by-step explanation:

Explanation:-

Given that the points are ( - 4,3) and (0,0)

The slope of the straight line

     [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

    [tex]m = \frac{0-3 }{0-(-4)} = \frac{-3}{4}[/tex]

The equation of the straight line

y - ( 3 ) = [tex]\frac{-3}{4}[/tex] ( x - (-4))

4( y-3) = -3( x +4)

4 y - 12 = - 3x -12

3 x + 4y = 0

The students in Carmen's grade voted to select a guest speaker. 11 students voted for a famous athlete. The other 9 students in Carmen's grade voted for a famous actor. What percentage of the students voted for the athlete?

Answers

11 + 9 = 20 students total
11/20 = the number of students who voted for the athlete
11/20 = 0.55
0.55 x 100 = 55% of the students voted for the athlete

Can some one help me with this ASAP

Answers

Answer:

x=9

z=105

Step-by-step explanation:

12x-33=75

12x=75+33

x=108/12

x=9

z+75=180

z=180-75

z=105

what is the distance between the points (2, 5) and (5,7)?

A. 5
B. square root 13
C. square root 10​

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

The distance formula that gives the distance between two points is given as:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Plugging in our given points, we get:

[tex]d=\sqrt{(5-2)^2+(7-5)^2},\\d=\sqrt{3^2+2^2},\\d=\sqrt{9+4},\\d=\fbox{$\sqrt{13}$}[/tex].

Which expression is equivalent to (144k2r14)1/2 for all positive values of k and r ?

A.144kr7

B.12kr7

C.12k2r4

D.72k2r14

Answers

Answer:

12kr⁷ is the equivalent expression.

Step-by-step explanation:

We need to find an expression that is equivalent to [tex](144k^2r^{14})^{1/2}[/tex]

We know that, 12² = 144

[tex](144k^2r^{14})^{1/2}=(12^2\times k^2\times r^{14})^{1/2}\\\\=12^{2\times \dfrac{1}{2}}\times k^{2\times \dfrac{1}{2}}\times r^{14\times \dfrac{1}{2}}\\\\=12\times k\times r^7\\\\=12kr^7[/tex]

So, the equivalent expression is [tex]12kr^7[/tex]. Hence, the correct option is (B).

If the 4th and 7th terms of a geometric sequence are 75 and 600, what is the first term?​

Answers

Answer:

probably 8 lol

Step-by-step explanation:

i just did 600/75 sorry if it's wrong

Trevor Has a Fair coin and a six-sided number cube with a number 1 through 6 on each side. He flips the coin and rolls a number cube. what is the probability that the coin shows heads and a number cube shows 4?​

Answers

Answer:

1/12

Step-by-step explanation:

When you are doing probability with multiple things at once you have to multiply the probabilities of each asked number from each object together to get the probability of them both landing on those numbers

which ordered pair represents a point in Quadrant IV?
A) (4, -4)
B) (3, 0)
C) (-1 -6)
D) (-4, 2)

Answers

Answer:

pretty sure it's A. (4, -4)

A department store buys 400 shirts at a cost of ​$6,400 and sells them at a selling price of ​$20 each. Find the percent markup.

Answers

Answer:

[tex]25 \%[/tex]

Step-by-step explanation:

The department store is buying each shirt for:

[tex]\frac{6400}{400}=\$ 16[/tex] each.

Therefore, the percent markup is:

[tex]100 \cdot \frac{20-16}{16}=\fbox{$25\%$}[/tex].

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