Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 8 m?Answer :-
The volume of a cylinder is 628 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{8 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 8 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(8 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(8 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(8 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 628 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 628 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Jack runs 4 laps in 6 minutes. At that pace, how long did it take him to run half of a lap? Show your work. Write and solve a proportion for the situation.
Answer: half a lap would take 45 seconds
Step-by-step explanation:
Help please and thanks
Answer:
I think I did my math right. Is it 11? If it's not I tried to help.
Step-by-step explanation:
4(2a+3)=-3(a-1)+31-11a
Answer:
a=1
Step-by-step explanation:
Sam counted his heartbeats while resting. His heart beat 220 times in 4 minutes. Sam's heart beat at the same rate for the 4 minutes.
The equation for the number of beats per minute is 55 beats per minute
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of beats be = A
Now , the value of A = 220 beats
The total time required for Sam to have 220 beats = 4 minutes
So , the number of beats of Sam in 1 minutes is calculated by
The equation will be
The number of beats of Sam in 1 minutes is = total number of beats / total time required for Sam to have 220 beats
The number of beats of Sam in 1 minute is = 220 / 4
The number of beats of Sam in 1 minute is = 55 beats per minute
Therefore , Sam would have 55 beats every minute or 55 beats per minute
And for the period of 4 minutes , Sam would have
Number of beats for 4 minutes = number of beats of Sam in 1 minute x 4
Number of beats for 4 minutes = 55 x 4
Number of beats for 4 minutes = 220 beats in 4 minutes
Hence , The equation for the number of beats per minute is 55 beats per minute
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
8x-17-5x=13 what does x equal?
Can somebody help me with this problem i need great help and 10 pts with be giving
Answer:
The answer is -3<x≤2
In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in 4 minutes 37 seconds, how many minutes does it take in total for the team of 8 competitors to finish the race? Give your answer correct to the nearest minute. [Answer format: integer, no units]
Answer:
31 minutes
Step-by-step explanation:
Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds
1st runner time = 4 minutes 37 seconds
2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds
3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds
4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds
5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second
6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds
7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds
8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds
The total time is the addition of all the times
For clarity sake, we shall be adding all the minutes together and all the seconds together;
That will be ;
(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)
= 27 minutes + 224 seconds
We need to convert 224 seconds to minutes
Since 60 seconds make one minute; we have
224 - 60(3) = 3 minutes and 44 seconds
Let’s add this to the minutes we had before
That would be;
27 minutes + 3 minutes + 44 seconds
= 30 minutes 44 seconds
since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute
So the total time is 30 minutes + 1 minute = 31 minutes
A carpenter is building a rectangular fence for a playground. One side of the playground is the wall of a building 70 ft. wide. He plans to use 340 feet of fencing maerial what is the length of the playground if the width is 70ft
Answer:
sorry , but where is the question?
calculate the number between -7 and 6
Answer:
-13
Step-by-step explanation:
when you calcute -7and 6 you get -13
Simplify using the distributive property:
6(y-8)
IM GIVING BRAINLIEST
Answer:
6y - 48
Step-by-step explanation:
6 times y its 6y
6 times -8 is -48
You cannot solve further without knowing the variable
Answer; 6y−48
Step-by-step explanation:
Which of the following is equivalent to the equation below?
4r+7s=q
A. r=4q−28s
B. r= q−7s/4
C. s=7q+28r
D. s=q+4r/7
Answer:B
Step-by-step explanation:
Patty buys 7 juice boxes a month for lunch if one juice box costs 2.79 dollars, how much money does patty spend on juice
each month?
Answer:
She spends 19.53$ each month
Step-by-step explanation:
7*2.79 is 19.53, so that means she spent that much a month
In which quadrant is -105 located?
I
II
III
IV
Answer:
IV
Step-by-step explanation:
Answer:
The answer is 3
Step-by-step explanation:
I used M&thWay
3) Find the absolute value /-25/
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
braniest pls
A parabolic heater has a cross section modeled by a parabola with vertex (0,0\right) and focus (2,0\right) . The heater has a depth of 5 inches. What is the width of the parabolic heater at its widest point? Round your answer to the nearest hundredth.
Answer:
y = 6.93
Step-by-step explanation:
Given the Vertex and ficuas of a parabola as :
Vertex (0,0) ; focus(0,2) ; depth = 5 inches
Width of parabolic heater at its widest point :
General equation of a parabola:
4p(x - h) = (y - k)²
(h, k) = Vertex
hence,
h =0 ; k = 0 ; p = 2 ; x = 5
(y - k)² = 4p(x - h)
(y - 0)² = 4*2(6 - 0)
(y-0)(y-0) = 8(6 - 0)
y² = 48 - 0
y² = 48
y = 6.928
y = 6.93
Answer:
8.33,236.67
Step-by-step explanation: im hard but i got it right
A shoe store has 23 pairs off white tennis shoes out of 90 pairs of shoes. Estimate the percent of white tennis shoes
Answer:
The estimated percentages i could think of were 2/9, 1/3, 23/90, 20/90
Step-by-step explanation:
estimates include rounding. So i rounded to the nearest fractions and picked out the best ones.
Answer:
26%
Step-by-step explanation:
23/90×100= 26%
note: thanks would be appreciated. thank you!
If you don't know the answer, then don't answer!!!
Please answer the question correctly.
I'll mark (Brainiest) for the best answer.
I need it right away.
Answer:
The missing statement is 9x = 61
Step-by-step explanation:
R2. is Addition Property of Equality.
R3. is Distribution Property
R5. is Divisin Property of Equality.
I hope this helps you, I haven't done this for quite some time. Sorry it took me just now to find your question.
What equation represents a line which is perpendicular to the line y=5/3x-5
Answer:
y= -3/5x+5
Step-by-step explanation:
im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa
Does anybody know the the endpoints of these segments
Answer:
D, (13, 4.5)
Step-by-step explanation:
(question asked for midpoint so my bad if this isnt what you wanted)
to calculate the median of a vector, you would have to do a simple calculation to get the answer
for the x coordinate, (9 + 17) / 2 would be 13
for the y coordinate, 5 + 4 / 2 would be 4.5
combining those would give you the answer (13, 4.5)
SUPER EASY YALL!
Solve for the unknown number (x)
34 + x = 42
Answer:
34 +x = 42
x = 42- 34
= 8
is the right answer
Answer:
8
For this problem, subtract 34 from 42.
42 - 34 = 8.
You get the number 8.
It will be your answer. Hope this helps!
State the number of complex roots, the number of positive real roots and the number of negative real roots of x^4 - x^3 - 6x +3 =0.
answer:
complex roots 2 or 4
positive reall roots: 2 or 0
negative real roots 0
Answer:
Which points are collinear?
G, A, and T
G, E, and T
A, T, and E
G, A, and E
Step-by-step explanation:
that what i nkow sorry
Answer:
2 complex roots
2 positive real roots
0 negative real roots
Brainliest please?
What is the absolute value of -2/3??? PLEASE HELP!
Answer:
2/3
Step-by-step explanation:
The absolute value of a negative number will switch to a positive when the indicators are removed.
plz ive been stuck on this for an hour plzzz help?
Answer:
X=-8
Step-by-step explanation:
2 #7&"8*_8-*'7&-$(7
X<-8
On the number line, put the dot at -8 and shade to the left.
3
All 25 students in our class were surveyed about what their favorite food is. 11 students chose pizza. What
percentage of the class chose pizza?
Easy
[tex] \frac{11}{25} \times 100 = \frac{11}{25} \times 25 \times 4 \\ [/tex]
[tex] = 11 \times 4 = 44 \: \: percent[/tex]
So %44 of your class students chose pizza.
The percentage of the class chose pizza = 44%
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
Total number of students = 25
the number of students who chose pizza as their favorite food = 11
So, the percentage of the class chose pizza would be,
⇒ (11/25) × 100 = 44%
Learn more about percentage here:
https://brainly.com/question/22111589
#SPJ2
PLSSS FAST
3x 300
x = 10
x = 100
X =
100
x = 297
Answer:
x=100
Step-by-step explanation:
I am thinking of a number. Add seven to the number and then multiply
it by two. The answer is sixteen. What is my number?(it’s a riddle)
Answer:
1
Step-by-step explanation:
7+1
=8
8*2
=16
Find the measure of the missing angle.
O 115
0 123
O 58
180
The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.
Answer:
Step-by-step explanation:
let the first angle be 5x
second be 4x
and third be 1x
as we know that by adding all the sides of triangle we get 180°
therefore ,
5x+4x+1x=180°
10x=180°
hence ,
x=18°
first angle - 18*5 = 90°
second angle - 18*4=72°
third angle - 18°
HOPE THIS HELPS YOU !!!
Answer:
18°, 72°, 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the parts of the ratio, 5 + 4 + 1 = 10 parts
divide to find the value of one part of the ratio
180° ÷ 10 = 18° ← value of 1 part of the ratio , thus
5 parts = 5 × 18° = 90°
4 parts = 4 × 18° = 72°
Thus the angles of the triangle are 18°, 72° and 90°
The triangle with side lengths 4, 4, and 5 would be
Wendy was traveling from Baltimore, MD to Cleveland, OH. For the first 2 3/4 hours of her trip, she drove an estimated 63 mph. For the second portion of her trip, which took her 3 1/2 hours, she drove at an estimated rate of 57 mph. Write an expression to model her distance and calculate how far she drove. You may use the distance formula d=r*t (distance = rate * time).
Answer: D = r*t + r*t 372 3/4 = (63 * 2 3/4) + (57 * 3 1/2)
OR
D1 + D2 = Total 173 1/4 + 199 1/2 = 372 3/4
D1 = r1 *t1 63 * 2 3/4 = 173 1/4
D2 = r2 * t2 57 * 3 1/2 = 199 1/2
Step-by-step explanation:
The trip is in two segments, so calculate the distance driven in each portion, then add the two distances together to get the total.
Another way to write the expression would be D = r*t + r*t
The total distance that Wendy drove to Cleveland will be 372.75 miles.
For the first 2 3/4 hours of her trip, she drove an estimated 63 mph. Then, the distance traveled will be:
= 63 × 2 3/4
= 173.25 miles.
For the second portion of her trip, which took her 3 1/2 hours, she drove at an estimated rate of 57 mph, the distance will be:
= 57 × 3 1/2
= 199.5 miles
The total distance traveled will then be:
= 173.25 miles + 199.5 miles
= 372.75 miles.
Read related link on:
https://brainly.com/question/18028288
