The volume of a certain right circular cylinder is 16. A larger circular cylinder has radius 25% greater and height 50% greater than the radius and height respectively, of the smaller cylinder. What is the volume of the larger cylinder

Step-by-step explanation:

Given

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

And the radius (R) is;

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

Substitute 16 for V1

While the volume of the larger cylinder is:

We have that:

and

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Simplify both expressions

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Substitute values for R and H in

Collect Like Terms

Recall that:

Hence, the volume of the larger cylinder is 37.5