Question

The tank is being filled with drinking water by using a bucket that can hold 0.34 cubic feet of water. Emma is able to pour 5 full buckets into the tank every 3 minutes. How long will it take to fill the water tank completely at this constant rate? Use 3.14 for pi and round to the nearest whole minute.

Answer 1

The formula for volume of a cylinder is V=$\pi$r^2h, where V= volume, r=radius, and h=height. So we plug in your numbers and get (3.14)(1.5)^2(4), which equals 28.26 cubic feet. We have a bucket that holds 0.34 cubic feet, so we need to fill it 28.26/0.34 times, which equals about 83.118 times. If she can fill the bucket five times in three minutes, we set up a ratio 3/5 = 83.118/x so 5x=249.3529, and x=49.87 minutes.