Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m. 10 m 2 m 2 m What is the volume of the figure? Give an exact answer in terms of pi.

Question

asked Aug 23, 2022 30.0k views

2 Answers

Andrii Viazovskyi · Answer 1 · 2022-08-28T19:05:05+0000

Answer:

Volume of the figure = 10π cubic meters

Explanation:

Volume of the right prism like figure = Area of the base × Height

Area of the base of the prism =
$(1)/(4)(\pi r^(2))$

=
$(1)/(4)(\pi)(2)^2$

= π m²

Height of the prism = 10 m

Volume of the prism given in picture = π × 10

= 10π cubic meters