Question

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.

Answer 1

`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`