Question

The figure is a cylinder with a sphere within it.

To the nearest whole number, what is the approximate volume of the shaded part of this figure?

Use 3.14 for Pi.

Drag the correct value to the box.

Answer 1

I am so sorry if I am wrong but I had this question b4 and I'm pretty sure the answer was 7238

Answer 2

`2713cm^3`

Explanation:

From the given figure, the radius of the cylinder is=8cm, height of cylinder is =18cm and the radius of the sphere is= 6cm.

Thus,
`Volume of cylinder={\pi}r^2h`

`V=3.14(8)^(2)(18)`

`V=3.14(64)(18)`

`V=3617.28cm^3`

And
`volume of sphere=(4)/(3){\pi}r^3`

`V=(4)/(3)(3.14)(6)^3`

`V=(4)/(3)(3.14)(216)`

`V=904.31cm^3`

Thus, the volume of the shaded part of the figure=Volume of cylinder-volume of sphere

⇒volume of the shaded part of the figure=
`3617.28-904.31`

=
`2712.97`

≈
`2713cm^3`

Thus,volume of the shaded part of the figure=
`2713cm^3`