Answer:
B. 3188.5 cubic inches.
Explanation:
The volume of a cone is calculated using the following formula:
Volume = (1/3) * π * r² * h
Where:
- π is the mathematical constant pi, approximately equal to 3.14.
- r is the radius of the base of the cone.
- h is the height of the cone.
In this problem, we are given that r = 17 inches and S.h = 20 inches.
First we need to find height h.
py using Pythagorous theorem,we get
c²=a²+b²
here c= slight height and a is radius
20²=17²+b²
20²-17²=b²
111=b²
b=√(111)
Plugging these values into the formula, we get:
Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches
Therefore, the volume of the cone is 3188.5 cubic inches.