Question

The cylinder shown has a volume of 733 cubic inches.

a. What is the radius of the​ cylinder?

The radius of the cylinder is ?

(Round to the nearest tenth if needed)

Answer 1

4.7 in

Explanation:

You want the radius of a cylinder 10.5 in high that has a volume of 733 cubic inches.

Volume

The volume formula is ...

V = πr²h

Solving for the radius, we have ...

r = √(V/(πh))

Application

For the given dimensions, the radius is ...

r = √(733/(π·10.5)) ≈ 4.7 . . . . inches

The radius of the cylinder is about 4.7 inches.

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