find the volume of a hemisphere whose total surface area is 2772m^2
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Answer:
21cm
Step-by-step explanation:
The surface of a sphere is 4(pi)r^2 and so the curved surface of a hemisphere is 2(pi)r^2 = 2772, so r^2 = 2772*7/(2*22) = 441 and r = 21 cm.
Check: The volume of the hemisphere = (2/3)*(pi)r^3 = (2/3)*(pi)*21^3 = 19404 cc. Correct.
The radius of the hemisphere = 21 cm.
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