If radius of cylinder and sphere are same and volume of sphere and cylinder…
2025
If radius of cylinder and sphere are same and volume of sphere and cylinder are same. what is the ratio between the radius and height of the cylinder?
- A.
R= H
- B.
R= (3/4)H
- C.
R = (4/3)H
- D.
R=2/3H
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Correct answer: B
We have Volume and radius of cylinder and sphere are same
Let R be the radius of both the figures.
Then Volume of sphere = 4/3 πR3
And Volume of cylinder = πR2h
Hence equating both the volumes
⇒ 4/3 πR3 = πR2h
⇒ 4R/3 = h
⇒ R = 3h/4