SOLUTION: Scientists are drilling a hole in the ocean floor to learn more about the Earth’s history. Currently, the hole is in the shape of a cylinder whose volume is approximately 4200 cubi

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Question 620628: Scientists are drilling a hole in the ocean floor to learn more about the Earth’s history. Currently, the hole is in the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.1 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same unit of measurement are used.)
Answer by unlockmath(1688) About Me  (Show Source):
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Hello,
The formula to use is:
V=pi(r)^2h
Convert 4.1 miles to feet by multiplying it by 5280 to get:
21648 feet
Plug in the values:
4200 cubic feet=3.14r^2(21648)
Expand this out:
4200 cubic feet=r^2(67974.72)
Divide 67974.72 feet
.0618 square feet=r^2
Square root both sides to get:
.25 feet (approx) or 3 inches radius.
Make sense?
RJ
www.math-unlock.com