Question

a sphere and a cylinder have equal volume and equal radius. the ratio of curved surface area of the cylinder two that of sphere ???

Answer 1

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Answer 2

Answer: The ratio of curved surface area of the cylinder to that of sphere is 2:3.

Step-by-step explanation:

Since a sphere and a cylinder have equal volume and equal radius.

Let the radius of sphere and cylinder  be 'r'.

So, it becomes,

$\frac{4}{3}\pi r^3=\pi r^2h\\\\4r=3h\\\\h=\frac{3}{4}r$

So, Ratio of curved surface area of the cylinder to that of sphere is given by

$2\pi rh:4\pi r^2\\\\=r\times \frac{4}{3}r:2r^2\\\\=4:6\\\\=2:3$

Hence, the ratio of curved surface area of the cylinder to that of sphere is

2:3.