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 3800

cubic feet and whose height is 2.8 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

`v=\pi r^2h`

`\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft`

`3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=√(3800/46421.76) ft\\r=0.286108656ft`