Answer:
The volume is approx. 170 cubic inches.
Step-by-step explanation:
The total volume is the sum of the volume of the cylinder and half the volume of a sphere with the given diameter.
Cylinder:
(volume) = 2 * (disc area) * (height)
[tex]V_C=\pi r^2 h = \pi \frac{d^2}{4}h=3.14\cdot 6.25\cdot 7=137.4 \,\,in.^3[/tex]
Hemisphere:
[tex]V_H=\frac{1}{2}\cdot\frac{4}{3}\pi r^3=\frac{2}{3}\cdot 3.14\cdot 2.5^3=32.7\,\,in^3\\[/tex]
Total:
137.4+32.7 = approx. 170 cubic inches
