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 4300 cubic feet and whose height is 4.7 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)

Question

Lorelei Vincent

Mathematics

9 November, 21:45

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 4300 cubic feet and whose height is 4.7 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)

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Answers (2)

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Aedan Soto · Answer 1

volume of cylinder=πr²h

4,300=22/7*r*r*4.7

4,300=3.14*4.7*r²

4300=14.758*r²

291.36=r²

17.069 = r

Bobby · Answer 2

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

π is a constant whose value is 3.14

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given, the volume of the cylindrical hole is

approximately 4300 cubic feet and its height is 4.7 miles. Converting 4.7 miles to feet,

1 mile = 5280 feet

4.7 miles = 4.7 * 5280 = 24816 feet

Therefore

4300 = 3.14 * r² * 24816 = 77922.24r² = 4300

r² = 4300/77922.24 = 0.055

r = √0.055 = 0.23 feet