The volume of the shaded solid is 1953.03 cubic inches if the volume of the unshaded part is 53.33π cubic inches.
What is a cone?
It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
The volume of the cone = πr²h/3
The volume of a complete cone V = π(9)²(25)/3
Because r = 18/2 = 9 in
h = 15+10 = 25 in
V = 675π cubic inches
Volume of the unshaded part v = π(4)²(10)/3
Here r = 8/2 = 4 inches
h = 10 inches
v = 53.33π cubic inches
The volume of the shaded solid = V - v
= 675π - 53.33π = 621.67π cubic inches
= 1953.03 cubic inches
Thus, the volume of the shaded solid is 1953.03 cubic inches if the volume of the unshaded part is 53.33π cubic inches.
Learn more about the cone here:
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