Answer:
2968.30 cm cube.
Step-by-step 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
= [tex]\frac{1}{3} \pi r^{2} h+\frac{2}{3} \pi r^{3}[/tex]
substitute for h and r in the equation
Required volume =
[tex][tex]\frac{1}{3}\pi r^{2} (h+2r) = \frac{1}{3}\pi 9^{2} (17+2(9))\\= 1441.99+1526.31\\=2968.30[/tex][/tex]
So answer is 2968.30 cm cube.
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