Each base in this right prism-like figure is a quarter of a circle with a radius of 2m. What is the volume of the figure? Give an exact answer in terms of pi.

Question

asked May 17, 2022 39.3k views

1 Answer

Morsecodist · Answer 1 · 2022-05-23T20:53:51+0000

Answer:

$volume = 10\pi m^3$

Explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

$Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = (1)/(4) \pi r^2 = (1)/(4)\pi * 4 = \pi m^2$

Base Area = π square meters.

Therefore ,

$Volume = Base Area * height = \pi * 10 = 10\pi m^3$