The height of the cone is 24 cm and the curved surface area of cone is 550 cm2 Find its volume ........

Quantitative Aptitude ( CCS) Mensuration 3D

The height of the cone is 24 cm and the curved surface area of cone is 550 cm² Find its volume.

1232 cm²

1532 cm²

1322 cm²

1662 cm²

Let r cm be the radius and l cm the slant height. Then,

l^2=r^2+24^2

l^2=r^2+576

Curved surface area = 550 cm2

πrl=550

22/7 ?×r×√ (r^2 +576)?=550

r√ r2+576?=25×7

squaring both sides.

r^2(r^2+576)=25^2×7^2

r^4+576r^2−(625×49)=0

(r^2+625)(r^2−49)=0

r=7

Volume = 31?πr2h=31?×722?×49×24=1232 cm3

Submit Error

radius is missing

sunny bhonsle

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