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
Answers
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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Volume of another cylinder is 400 cm^2.