A cylinder with surface area 500 square inches and a height equal to 10 inches has what volume? Round to the nearest cubic inch.

Question

asked Jan 26, 2022 30.4k views

1 Answer

Hustnzj · Answer 1 · 2022-02-01T00:06:03+0000

Answer:

V≈858.11in³

Explanation:

Using the formulas

A=2πrh+2πr2

AB=πr2

V=ABh

Solving for V

V=1

4h(πh﹣πh2+2A)2=1

4·10·(π·10﹣π·102+2·500)2≈858.10544in³