Question

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.

Answer 1

I have the same problem but with 14 being 15 in and 9 being 7 in, can someone help?

Answer 2

we know that
[Volume of a cone]=pi*r²*h/3
and
[Volume of a half-sphere]=(4/6)*pi*r³
then
h=14 in
r=9 in
[Volume of a cone]=pi*r²*h/3-------------> pi*9²*14/3------------> 1186.92 in³
[Volume of a half-sphere]=(4/6)*pi*r³--------->(4/6)*pi*9³------> 1526.04 in³

the volume of the prop=1186.92+1526.04--------> 2712.96 -----------> 2713 in³

the answer is 2713 in³