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 3500 cubic feet and whose height is 4.3 miles. Find the radius of the hole to the nearest hundredth of a foot. ​ (Hint: Make sure the same units of measurement are​ used.)

Answer 1

Answer:

0.22 feet

Explanation:

Volume of cylinder = 3500 cubic feet = v

Height of cylinder = 4.3 miles

Convert to miles to feet

1 mile = 5280 feet

4.3 miles = 4.3×5280 = 22704 feet = h

Volume of cylinder

$v=\pi r^2h\\\Rightarrow r=\sqrt{\frac{v}{\pi h}}\\\Rightarrow r=\sqrt{\frac{3500}{\pi 22704}}\\\Rightarrow r=0.22\ ft$

The radius of the hole is 0.22 feet (ignoring the thickness of the cylinder).