Question

What is the volume of the solid?

Be sure to label your answer. Round to the nearest hundredth.

Answer 1

By Cavalieri's Principle, the volume of an oblique solid does not differ in volume from an orthogonal solid of the same base and height. Thus for this figure the volume is the same as for a regular, right cylinder:

`V=B * H = \pi r^(2) h`

Substituting known values:

`V=\pi r^(2)h=\pi (5^(2))10=250\pi = 785.3975 \approx 78.40`