Question

Find the volume of the cylinder.

Either enter an exact answer in terms of π or use 3.143.t, 14 for π.

Answer 1

Answer: 75pi

===============================================

Work Shown:

r = 5 is the radius

h = 3 is the height

V = pi*r^2*h .... volume of a cylinder

V = pi*5^2*3

V = pi*25*3

V = pi*75

V = 75pi ..... exact volume in terms of pi

V = 75*3.14

V = 235.5

If you used the approximation pi = 3.14, then the approximate volume is about 235.5 cubic units. Use more decimal digits of pi to get a more accurate answer.

Note how the pi*r^2 portion represents the area of the circular base. So we can say

volume = (area of base)*(height)

Answer 2

V = 75 pi

Explanation:

We know the volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 5)^2 (3)

V = pi (25)(3)

V = 75 pi