Volumes Practice Test 3

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Question : 2 of 40

Marks: +1, -0

If a right circular cone of height 24 cm has a volume of 1232

cm^3

, then find its curved surface area.

220 $cm^2$
330 $cm^2$
440 $cm^2$
550 $cm^2$

Solution:

Here,

1/3 πr^2

× 24 = 1232
⇒

r^2

=

{1232×7}/{22×8}

= 7 × 7
∴ r = 7 cm
Hence, curved surface area of the cone =

{22}/7 × 7 × √{7^2+24^2}

= 22 × 25 = 550

cm^2

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