A sphere has the same curved surface as the total surface area of cylinder of height 4 cm and diameter of base 8 cm. The radius of the sphere is
2cm
3cm
4cm
6cm
A
2cm
B
3cm
C
4cm
D
6cm
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Solution
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Let the radius of the sphere be r. Then curved surface of sphere =4πr2 Total surface of cylinder =2π.r.(r+h) =2π×4×(4+4)=64π ∴4πr2=64π ∴r=4 cm
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