Question

Find the volume of the figure below. Leave your answer in terms of  π. ​

Answer 1

Answer: 1539π cubic inches.

Step-by-step explanation:

In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.

Radius = 9 inches   (half of diamter)

Volume of hemisphere = $\dfrac23 \pi r^3$

Volume of cylinder = $\pi r^2 h$, where r= radius h= height

Volume of hemisphere= $\dfrac{2}{3}\pi (9)^3=486\pi in.^3$

Volume of cylinder = $\pi (9)^2 (13)=1053\pi\ in.^3$

Combined volume = 486π+1053π=1539π cubic inches.

Hence, the volume of the solid = 1539π cubic inches.