Question

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 3600 cubic feet and whose height is 2.5 miles. Find the radius of the hole to the nearest hundredth of a foot.

Answer 1

Radius = 0.29 feet

Explanation:

We are told in the question that the hole that they are drilling is cylindrical in shape

Volume of a cylinder = πr²h

Volume of the cylindrical hole = 3600 cubic feet

Height of the hole = 2.5 miles

Step 1

Convert height to feet

1 mile = 5280 feet

2.5 miles =

Cross Multiply

2.5 miles × 5280 feet = 13200 feet

Step 2

Find radius of the cylindrical hole

Radius of a cylinder is calculated using the formula = √V/πh

= √3600/π × 13200

= 0.29464 feet

Therefore, approximately to the nearest hundredth, the radius of the cylindrical hole = 0.29 feet