A cone of height 48 cm and diameter of
base 24 cm is made up of clay. It is
reshaped into a sphere. What is the
surface area of the sphere?
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Answer:
Diameter of cone = 24
Radius of cone (r) = 24/2 = 12
As we know,
Volume of cone = (1/3) × πr2h
Volume of cone = (1/3) × π × 12 × 12 × 48
Volume of sphere = (4/3) × πR3
According to the question
Volume of cone = volume of sphere
(4/3) × πR3 = (1/3) × π × 12 × 12 × 48
R = 12
Surface area of sphere = 4πR2 = 4 × 12 × 12 × π = 576π
Step-by-step explanation:
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