Question

A machine part consist of a half sphere and a cylinder, as shown in the figure.the total volume of the part is blank pi c

Answer 1

Volume of the machine part = 114π inches³

Explanation:

Volume of the machine part = Volume of cylinder + Volume of hemisphere

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

Where r = radius of the cylinder

h = height of the cylinder

Volume of the cylinder =
`\pi((6)/(2))^(2)(12)`

= 108π inches³

Volume of the hemisphere =
`(2)/(3)\pi r^(3)`

=
`(2)/(3)\pi (3)^(3)`

= 6π inches³

Total area of the machine part = 108π + 6π

= 114π inches³