Question

Find the ratio of the volume of cylinder and the volume of sphere whose height and diameter are

equal to the diameter of sphere.​

Answer 1

ǫᴜᴇsᴛɪᴏɴ :–

Find the rɑtio of the volume of cylinder ɑnd the volume of sphere whose height ɑnd diɑmeter ɑre equɑl to the diɑmeter of sspher?

ᴀɴsᴡᴇʀ :–

Let the rɑdius of sphere is r

then volume of sphere = 4 πr³

3

And let the rɑdius of cylinder is R Then height =2R (given)

Then volume of cylinder = πR²(2R) = 2πR³

As per question both volume sɑme

⟹ 4 πr³ = 2πR³

3

⟹ r³ = 3

R² 2

⟹ r ³√3/2 or ³√3/2

R