Question

Determine the volume of the shaded region?

Answer 1

volume of shaded region = 112.94
`cm^(3)`

Explanation:

Volume of a cylinder =
`\pi r^(2)h`

volume = 22/7 *
`2.5^(2)` * 14.6

volume = 286.67
`cm^(3)` approx

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

volume =
`(4)/(3) *(22)/(7)*2.4^(3)`

volume= 57.91
`cm^(3)` approx

No, of sphere = 3

Volume of 3 sphere = 3 * 57.91

=173.73
`cm^(3)`

Now , volume of shaded region = volume of cylinder - total volume of sphere

volume of shaded region = 286.67 - 173.73

=112.94
`cm^(3)`