Respuesta :

The surface area and the volume of the right cylinder are (36π / 5) · x + 648π / 25 square feet and (324π / 25) · x cubic feet.

How to find the surface area and the volume of a right cylinder

First, we need to determine the surface area of the cylinder, which is the sum of the areas of the two circular bases and the lateral area, whose calculation is shown below:

A = 2π · (18 / 5 ft) · x + 2π · (18 / 5 ft)²

A = (36π / 5) · x + 648π / 25

And the volume of the right cylinder is:

V = π · (18 / 5 ft)² · x

V = (324π / 25) · x

The surface area and the volume of the right cylinder are (36π / 5) · x + 648π / 25 square feet and (324π / 25) · x cubic feet.

Remark

x is an input variable both for the surface area and the volume of the right cylinder, Therefore, we can only determine the surface area and volume of the right cylinder as a function of x.

To learn more on cylinders: https://brainly.com/question/16134180

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