The surface area of a sphere of radius 5 cm is five times the area of curved surface of a cone of radius 4 cm. Find the height and volume of a cone. .
Surface area of sphere = 5 (CSA of cone)
4 l
4 25 = 5
4
l
l = 5 cm
We know,
h2 = l2 - r2
= 52 - 42
= 9
h = 3 cm
Volume of cone =
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