4/28/08 - Problem of the Week (Problems)

Happy Birthday Tai Shan! - The Solutions
July 14, 2008

2/5 = 4/x

2x = 20

x = 10 cups

The formula for the volume of a cylinder is V = πr²h

π (3/2)²(1/2) = π(9/4)(1/2) = (9/8)π

Now we’ll find the volume of the hole in the middle.

V = π1²(1/2) = (1/2) π

Finally, we have to subtract out the hole in the middle.

(9/8)π - (1/2)π = (9/8)π - (4/8)π = (5/8)π cubic feet

(4/6)(100) = 66.7%, to the nearest tenth


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