SOLUTION: The number Of square centimeters in the surface area of a hemisphere (including the base) is equal to the number Of cubic centimeters in its volume. What is its radius?

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Question 1180600: The number Of square centimeters in the surface area
of a hemisphere (including the base) is equal to the
number Of cubic centimeters in its volume. What is
its radius?

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The surface area of the hemisphere, dome + cap, is 2*pi*r^2 + pi*r^2
The volume of a hemisphere = 2/3*pi*r^3
Equating the two, we have 3*pi*r^2 = 2/3*pi*r^3
Divide through be 2/3*pi*r^2:
This gives r = 4.5 cm