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प्रश्न
The sum of the heights and the radius of a solid cylinder is 35 cm and its total surface area is 3080 cm2, find the volume of the cylinder.
उत्तर
Let r and h be the radius and height of a solid cylinder
Then, r + h = 35 cm
Total surface area of a cylinder = 3080 cm2
`=>` 2πr(h + r) = 3080
`=> 2 xx 22/7 xx r xx 35 = 3080`
`=>` 2 × 22 × r × 5 = 3080
`=> r = 3080/(2 xx 22 xx 5) = 14 cm`
`=>` h = 35 – r
= 35 – 14
= 21 cm
∴ Volume of cylinder = πr2h
= `22/7 xx 14 xx 14 xx 21`
= 12936 cm3
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