Question

Can you please help me out with a question

Answer 1

The volume of the pyramid and the cone is given by:

`V=(1)/(3)Bh`

where B is the area of the base and h is the height.

In this case the volume of pyramid is:

`V=(1)/(3)(10)(15)(12)=600`

The volume of the cone is:

`V^(\prime)=(1)/(3)\pi(4.5)^2(12)=81\pi`

Therefore the remaining volume is:

`V=600-81\pi=345.5`

Therefore the volume is 345.5 cubic units.