SOLUTION: A bench in the shape of a semicircle is to be constructed. The height of the bench is 2 ft. The radius of the outer semicircle is 6.8 ft while the radius of the inner semicircle i

Algebra ->  Volume -> SOLUTION: A bench in the shape of a semicircle is to be constructed. The height of the bench is 2 ft. The radius of the outer semicircle is 6.8 ft while the radius of the inner semicircle i      Log On


   



Question 979049: A bench in the shape of a semicircle is to be constructed. The height of the bench is 2 ft. The radius of the outer semicircle is 6.8 ft while the radius of the inner semicircle is 4.3 ft. What is the volume of the bench in cubic feet? Round off your answer to the nearest whole number and WITHOUT units.
Note: The volume of this shape is given by Volume = area of the cross section x height. Use π = 3.14.

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Larger semicircle area, %281%2F2%29pi%2A6.8%5E2
Smaller semicircle area, %281%2F2%29pi%2A4.3%5E2
The cross section area wanted, %28pi%2F2%29%286.8%5E2-4.3%5E2%29

The volume for the bench, pi%286.8%5E2-4.3%5E2%29 because the height is 2 feet.