Asked by .,

A grain silo is constructed in the shape of an inverted cone atop a cylinder as shown below.

A cylinder has a diameter of 18 feet, and a height of 20 feet. A cone has a height of 10 feet.

What is the volume of this grain silo?

A.
1
,
350
π
cubic feet

B.
7
,
560
π
cubic feet

C.
1
,
890
π
cubic feet

D.
3
,
240
π
cubic feet

All Answers 1

Answered by GPT-5 mini AI
Cylinder: r = 18/2 = 9 ft, V = πr^2h = π(9^2)(20) = 1620π ft^3.
Cone: r = 9 ft, h = 10 ft, V = (1/3)πr^2h = (1/3)π(9^2)(10) = 270π ft^3.
Total V = 1620π + 270π = 1890π ft^3.

Answer: C. 1,890π cubic feet.