Question

A stockpile of dirt is being stored at a construction site. The dirt is roughly shaped like a cone with a height of 45ft and a diameter of 60ft. What is the estimated volume of the dirt pile?

A. 42,390
B. 127,110
C. 1,400
D. 380,000

Answer 1

A. 42,390 is the correct answer.
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Answer 2

A.

Explanation:

The formula for the volume of a cone is
`V=(1)/(3) h\pi r^2`

Where h is the height and r is the radius.

In this case, h = 45 ft and r = 60 /2 = 30.

`V =(1)/(3) *45\pi *30^2\\V = 42411`

The answer closest to this is A: 42,390.