Question

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest tenth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answer 1

The volume of a cylinder:

V = πr²H

A diameter is equal 2r (r-a radius), therefore 2r = 10in ⇒ r = 5in.

H = 3r ⇒ H = 3 · 5in = 15in

subitute:

V = π · 5² · 15 = π · 25 · 15 = 375π (in³) ≈ 375 · 3.14 = 1,177.5 (in³)

Answer: V = 1,177.5 in³