Question

A sphere is inscribed in a cylinder. Is the surface of the sphere equal to the curved surface of cylinder?if yes, explain how

Answer 1

yes the surface of the sphere equal to curved surface area of the cylinder.

surface area of cylinder=2pi × r^2 ×h

h=diameter of cylinder/sphere

=2r

therefore surface area of cylinder=2×pi×r^2×2r

=4×pi×r^3

which is equal to the surface area of sphere that is 4×pi×r^3

hence proved

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Answer 2

Step-by-step explanation:

Surface area of sphere is equal to the curved surface area of the cylinder

Let,

• Radius of the cylinder = r

and

• It's height = h

C. S. A = 2πrh = 2πr ( r + r )

[ :. height = diameter of the sphere

• = diameter of the cylinder
• = 2π ]

→ 2πr ( 2r ) = 4πr²

Surface area of the sphere = 4πr²

C. S. A of cylinder = Surface area of sphere .