Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm2.

What is the volume of the larger cylinder?

Given:

Given that two similar cylinder have surface areas 24π cm² and 54π cm².

The volume of the smaller cylinder is 16π cm³

We need to determine the volume of the larger cylinder.

Volume of the larger cylinder:

The ratio of the two similar cylinders having surface area of 24π cm² and 54π cm², we have;

Thus, the ratio of the surface area of the two cylinders is

The volume of the larger cylinder is given by

where x represents the volume of the larger cylinder.

Simplifying, we get;

Cross multiplying, we get;

Thus, the volume of the larger cylinder is 54π cm³

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