Question

the ratio of the radius and height of a cylinder is 3:2.if the height is 14 cm then its volume is​

Answer 1

Radius = r

height = h

Ratio of height and radius = 2:3

let the radius be = 2x,and the height =3x

volume of cyllender = 2πrh

= 2× 3.14×2x × 3x

= 6.28 × 6x

= x = 6.28 ÷ 6

= ( x = 1.04. )

radius = 2x › 2 × 1.04 » (2.08 cm)

{r = 2.08}

similarly,

(h = 3.12cm)

volume of cyllender = 2π rh

→ 2×3.14 × 2.08 × 3.12

VOLUME OF CYLLENDER = 40. 75 Cm²

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