Question

I need to know what’s the answer and how to work it out

Answer 1

First, we find the volume of the cylindrical object then we subtract the volume of the cone-shaped hole. Therefore:

-The volume of the cylinder is given by

`V=\pi\cdot r^2\cdot h`

Where

r = 5 inches

h = 15 inches

So,

`V=\pi\cdot(5)^2\cdot15=(3.14)\cdot25\cdot15=1177.5`

-The volume of the hole is given by

`V=(\pi\cdot r^2\cdot h)/(3)`

Where

r = D/2 = 6/2 = 3 inches

h = 9 inches

`V=(\pi\cdot(3)^2\cdot9)/(3)=(\pi\cdot9\cdot9)/(3)=(\pi\cdot81)/(3)=27\pi=27(3.14)=84.78`

Next, the volume of the cylindrical object is

`V=1177.5-84.78=1092.72`

Answer: 1092.72 cubic inches