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

Answer:

$volume = 10\pi m^3$

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              $Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2$

Base Area = π square meters.

Therefore ,

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