Question

find the volume of a cylinder if the volume of the cone is 120 cubic inches with the same base and height

Answer 1

Answer:

Volume of cylinder = 360.010cubic inches

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

V - volume

π - pie

r - radius

h - height

Given

V = 120 inches cubic

π - 3.142

120 = 3.142 * r^2 * h/3

120 = 3.142r^2h/3

120 = 3.142/3 * r^2h

120 = 1.0473r^2h

r^2h = 120 / 1.0473

= 114.580

Make h the subject of the formula

h = 114.580 / r^2

Gotten the value for h, substitute h into the formula for volume of a cylinder

Since the cone and the cylinder has the same base and height

V = πr^2h

h = 114.580/r^2

π - 3.142

V = 3.142 * r^2 * (114.580/r^2)

V = 3.142 * r^2 * 114.580/r^2

r^2 divides r^2

V = 3.142 * 114.580

V = 360.010 cubic inches