Question

Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of

Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3

Answer 1

Volume of Cylinder X = 712 cm³

Explanation:

Given:

Volume of Cylinder Y = 89 cm³

Radius of cylinder Y = 2 cm

Radius of cylinder X = 4 cm

Find:

Volume of Cylinder X

Computation:

We know that, Cylinder X and Cylinder Y are similar

So,

Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³

Volume of Cylinder X / 89 = [4/2]³

Volume of Cylinder X / 89 = [2]³

Volume of Cylinder X / 89 = 8

Volume of Cylinder X = 8 x 89

Volume of Cylinder X = 712 cm³