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.)

Respuesta :

[tex]v=\pi r^2h[/tex]

[tex]\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft[/tex]

[tex]3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft[/tex]