Homework Help: Math

Posted by KC on Sunday, August 26, 2012 at 2:27pm.

An oil tank is the shape of an inverted right circular cone with the pointed end down. The tank is 15 feet tall and is 12 feet in diameter at the top. At 1:00pm, the tank has oil 5 feet deep in it. Oil is pouring in at 5 cubic feet per minute. To the nearest minutes, at what time will the tank be full?

Math - Steve, Sunday, August 26, 2012 at 3:32pm
v = 1/3 pi r^2 h
= 1/3 pi * 36 * 15 = 565.487 ft^3
The volume already full at 1:00 is 62.832, leaving 502.655 ft^3

502.655/5 = 100.531 min. = 1hr 41min

so, tank is full at 2:41 pm

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