Answer:
Step-by-step explanation:
volume=πr^2h
461.58=3.14*r^2*12
461.58=37.68*r^2
461.58/37.68=r^2
12.25=r^2
=r
3.5=r
diameter=radius*2
=3.5*2
=7 in.
They are circle and triangle.
Best of luck in geometry
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by