Question

Please help me asap!

Answer 1

2968.30 cm cube.

Explanation:

Given is a cone and top of it is a hemisphere of radius 9 cm.

Cone has height as 17 and radius same 9 cm.

We have to find the volume of the compound shape

We find that the volume would be the sum of that of hemisphere of radius 9 cm and cone of height 17, and radius 9 cm.

Volume of compound shape = volume of cone+Volume of hemisphere

=
`(1)/(3) \pi r^(2) h+(2)/(3) \pi r^(3)`

substitute for h and r in the equation

Required volume =

`[tex](1)/(3)\pi  r^(2) (h+2r) = (1)/(3)\pi  9^(2) (17+2(9))\\= 1441.99+1526.31\\=2968.30`[/tex]

So answer is 2968.30 cm cube.

=