Question

8. Find the radius of the right cylinder shown , in which the height of the cylinder is equal to its diameter.
_______________?

Answer 1

The surface area of a cylinder is given by the formula:

\(SA = 2\pi r^2 + 2 \pi r h\)

In the formula, the first part (\(2 \pi r^2 \)) is the area of the two bases, and the second part (\( 2 \pi r h\)) is the lateral area.

In your case, you know \(SA = 150 \pi ~in.^2 \), and \(h = 2r\).

Solve the second equation below for r.

\(SA = 2\pi r^2 + 2 \pi r h\)

\(150 \pi ~in.^2 = 2\pi r^2 + 2 \pi r (2r)\)

Answer 2

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