Question

Which expression represents the volume, in cubic units, of the composite figure?

Answer 1

Explanation:

Alright, lets get started.

There is a composite figure given with two semi spheres and one cylinder attached.

So the volumes of two semi spheres will form a volume of complete sphere.

So, the volume of sphere =
`(4)/(3)\pi r^(3)`

The radius is half of 20 means 10, so volume of sphere =
`(4)/(3)\pi (10)^(3)`

Now the volume of cylinder =
`\pi r^2h`

Volume of cylinder =
`\pi (10)^2(28)`

So, the volume of composite figure =
`(4)/(3)\pi(10)^3 + \pi(10)^2(28)` ........... Answer

Hope it will help :)

Answer 2

volume of sphere = 4/3*PI*r^3

volume of cylinder = PI*r^2*h

so combining the 2 equations you would have A as the answer