Question

Two cylinders. The smaller cylinder has height labeled as 4 cm. The larger cylinder has height labeled as 8 cm.

The cylinders are similar. The volume of the larger cylinder is 2264 cubic centimeters. What is the volume of the smaller cylinder?



283 cm3


303 cm3


114 cm3


155 cm3

Answer 1

283cm³

Explanation:

The linear scale factor= Height of larger/Height of smaller cylinder.

=8cm/4cm=2

VOLUME scale factor = linear scale factor³

=2³=8

Therefore we divide the volume of the larger cylinder by the volume scale factor.

volume of small cylinder=2264cm³÷8

=283cm³

Answer 2

Answer: first option.

Explanation:

You know that the height of the smaller cylinder is 4 cm and the height of the larger cylinder is 8 cm, then you can find the volume ratio. This is:

`Volume\ ratio=((4\ cm)/(8\ cm))^3\\\\Volume\ ratio=(1)/(8)`

Knowing that the volume of the larger cylinder is 2,264 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

`V_(smaller)=(1)/(8)(2264\ cm^3)\\\\V_(smaller)=283\ cm^3`