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

Vol = 64π

Step-by-step 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

Answer 2

64 pi

Step-by-step 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