Geometry Volume?

Question

Find the volume if a come is bored out of a right regular pentagonal prism. the height of the prism is 10 cm. and the radius of the cone's base is 4 cm 

Please show work and explain.

Answer 1

The height of the prism is 10 cm and the base is circle and its radius is 4 cm.

Volume of the right pentagonal prism, V = B H cubic units.

B = the area of the pentagonal base(circle) = π r² = (22/7)(4)² = (22/7)(16) = 352/7 = 50.2857 square cm.

H = the height of the right pentagonal prism = 10 cm.

Volume of the right pentagonal prism, V = B H = (50.28)(10) = 502.857 cubic cm.