Question

If the volume of the cylinder is 100 cm³, then the volume of another cylinder whose
height is same but radius of the base is doubled Is​

Answer 1

Given info : the volume of a cylinder is 100 cm³.

To find : the volume of another cylinder whose height is as same as first one but radius of the base is doubled , is ...

solution : volume of cylinder is given by, V = πr²h

where r is radius and h is height of cylinder.

a/c to question,

volume of 1st cylinder, V₁ = 100 cm³

⇒πr²h = 100 cm³ ...(1)

now radius is doubled and height is same

so, volume of another cylinder, V₂ = π(2r)² × h

= π(4r²)h

= 4πr²h

= 4 × (πr²h)

= 4 × 100 cm³ [ from eq (1) ]

= 400 cm³

Therefore volume of the another cylinder is 400 cm³.

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Answer 2

Volume of another cylinder is 400 cm^2.