Question

The radius and height of a cylinder are in the ratio 4:7 find the radiusn and height of the cylinder if its volume is 118 cu cm also find its total surface area

Answer 1

Hey.

Volume of cylinder= πr^2h

let radius=4x
height =7x

so volume=π4x×4x×7x=112πx^3 =118 cm^3

so, x=118/112π=0.3355
so, radius= 4×0.3355=1.342cm
so, height= 7×0.3355=2.349 cm

so, total surface area =2πr×2+2πrh

Thanks.