Question

If s1 and s2 be the surface area of a sphere and the curved surface area of the circumscribed cylinder respectively, then s1 is equal to

Answer 1

Let S₁ be the surface area of the sphere.
Then,
S₁ = 4πR²   ........... (1)
Let S₂ be the curved surface area of the circumscribed cylinder.
Height of the circumscribed cylinder = 2R
where R is the radius of its base.
Then,
S₂ = 2 π R . 2R
S₂ = 4πR²  ............. (2)
From equations (1) and (2), it is clear that,
S₁ = S₂
Hope it will help you.
Thanks.