SOLUTION: Find the volume of a right circular cylinder with hemisphere : base is 20 ft and height is 60 ft. My answer key shows the answer as (20,000/3)π ft^3. I don't understand how to

Algebra ->  Volume -> SOLUTION: Find the volume of a right circular cylinder with hemisphere : base is 20 ft and height is 60 ft. My answer key shows the answer as (20,000/3)π ft^3. I don't understand how to      Log On


   



Question 321233: Find the volume of a right circular cylinder with hemisphere : base is 20 ft and height is 60 ft. My answer key shows the answer as (20,000/3)π ft^3. I don't understand how to get the answer...please help!
Found 2 solutions by stanbon, Greenfinch:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What do you mean by "base = 20"?
Is that its radius, its diameter, its area???
Cheers,
Stan H.

Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Hemisphere is of radius 10 foot, so volume is 1/2(4/3 pi r^3) or 2/3 pi x 1000.
Cylinder is 60 foot high and 10 foot radius, or 60 x 100 x pi.
Total is thus 1/3(2000pi + 18000pi) or (20000/3)pi
The question is a little odd in that it might be construed as a cylinder 60 foot high overall (that is, including the hemisphere)