Question

The volume of a cylindrical can of beans is 45 π cubic centimeters. if the diameter is 6 centimeters, what is the height of the can in centimeters?

Answer 1

h = 5 cm

Explanation:

Givens

d = 6cm

V = 45cubic cm

Formula

V = pi * r^2 h substitute values into the formula

Solution

d = 2*r

6 = 2*r Divide both sides by 2

6/2 = 2r / 2

3 = r

45 pi cm^3 = pi * (3)^2 * h Divide both sides by pi

45 pi/pi = pi * 9 * h / pi

45 = 9h Divide both sides by 4

45/4 = 9h/9

5 cm