SOLUTION: A landscape designer is going to fill a hemisphere shaped planter with soil. The radius of the planter is 15 ft. The empty planter weighs 500 lbs, and each cubic foot of soil w

Algebra ->  Volume -> SOLUTION: A landscape designer is going to fill a hemisphere shaped planter with soil. The radius of the planter is 15 ft. The empty planter weighs 500 lbs, and each cubic foot of soil w      Log On


   

Question 1136646: A landscape designer is going to fill a
hemisphere shaped planter with soil. The
radius of the planter is 15 ft.
The empty planter weighs 500 lbs, and each
cubic foot of soil weighs 100 lbs. How much
does the filled planter weigh?
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.
The total weight = 500+%2B+100%2A%281%2F2%29%2A%284%2F3%29%2Api%2Ar%5E3 = 500+%2B+100%2A%281%2F2%29%2A%284%2F3%29%2Api%2A15%5E3 pounds.


Use your calculator.

Do you see the factor  (1/2)  in the formula ?   It is introduced to take half of the volume of the sphere.