Question

The volume of a cone is 20m^3. What is the volume of a cylinder with the same base and height?

Answer 1

60 m³

Explanation:

V of cone = ⅓ × BA × height

V of cylinder = BA × height

V of cone = ⅓ V of cylinder

V of cylinder = 3 V of cone

= 3(20)

= 60

Answer 2

V = 59.97m^3

Explanation:

Volume of a cone

V =πr^2h/3

V - volume

π- pie

r - radius

h - height

Given

V = 20

π - 3.14

Since the cylinder has the same base and height

r = h

Let r = h be x

Substitute x for r = h in the formula

V = πr^2h/3

20 = 3.14 * x^2 * x/3

20 = 3.14/3 * x^3

20 = 1.047x^3

x^3 = 20/1.047

x^3 = 19.102

x = 2.673

r = h = x

r = h = 2.673

Volume of a cylinder

V = πr^2h

r = 2.673

h = 2.673

π - 3.14

V = 3.14 * 2.673^2 * 2.673

= 3.14 * 7.145 * 2.673

= 59.97m^3