Question

100 POINTS! ANSWER GIVEN! WORK NEEDED ONLY! SAT MATH A cylinder(not shown) has circular faces with circumferences of 8pi. The height of the cylinder is equal to the radius of its circular faces. What is the volume of the cylinder? Answer: 64pi Please show all the work

Answer 1

Answer:

64 pi

Explanation:

The circumference is given by

C = 2  pi r

8pi = 2 pi r

Divide each side by 2 pi

8 pi /2 pi = 2 pi r / 2 pi

4 = r

The radius is 4

The height is equal to the radius

h =4

We want to find the volume

V =  pi r^2 h

 = pi ( 4)^2 ( 4)

 =64 pi

Answer 2

Answer:

Vol = 64π

Explanation:

will make it simple and short.

given

circumference of a circle = 2πr = 8π

2πr = 8π

r = 4

h = r = 4                              

required : Vol

Vol = πr²h

Vol = π 4² * 4

Vol = 64π