The figure is made up of a cylinder and a hemisphere. to the nearest whole number, what is the approximate volume of this figure? use 3.14 to approximate π

The answer is 170.09 in³ ≈ 170.1 in³
 
The volume (V) of the figure is the sum of the volume of a cylinder (V1) and half of the volume of the sphere (V2):
V = V1 + 1/2V2

V1 = π * r² * h
π = 3.14
r = 5/2 = 2.5 in
h = 7 in
V1 = 3.14 * 2.5² * 7
V1 = 137.38 in³

V2 = 4/3 * π * r³
π = 3.14
r = 5/2 = 2.5 in
V2 = 4/3 * 3.14 * 2.5³
V2 = 65.42 in³

Hence:
V = V1 + 1/2 V2
V = 137.38 in³ + 1/2 * 65.42 in³
V = 170.09 in³ ≈ 170.1 in³