Question

the radius and height of a cylinder are in the ratio of 2:3.if the volume of cylinder is 1617cm^3,find its height.

Answer 1

hello frnd!!!

here's ur answer...

let the radius of the cylinder be 2x and the height of the cylinder be 3x.

volume of the cylinder=1617cm³

πr²h=1617cm³

22/7×2x×2x×3x=1617cm³

22/7×12x³=1617cm³

12x³=1617/1×7/22

12x³=11319/22

12x³=514.5

x³=514.5/12

x³=42.875

x=³√42.875

therefore x=3.5cm

hence, radius is 2x

=2×3.5

=7cm

height=3x

=3×3.5

=10.5cm

hope this helps u...

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