A sphere and cylinder has equal volume and radius
The ratio of the curved surface area of the cylinder to
the that of sphere.
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Answer:
The ratio is equal to 2:3 or in fraction, it will be equal to 2/3.
Step-by-step explanation:
According to the question,
Vol. of sphere = Vol. of cylinder
i.e, 4/πr^3 = πr^2h
=> 4/3r = h
Curved surface area of cylinder ÷ Surface area of sphere i.e, 2πrh ÷ 4πr^2
= 2/4 × h/r
= 2/4 × 4/3
= 2/3 or
In ratio, 2:3
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