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CBSE Class 9 Answered

A pile of sand is in the shape of a right cone. The circumference of the base is 88 m and its slant height is 7 m. Find the lateral surface area of the pile of sand.
Asked by Topperlearning User | 17 Oct, 2017, 09:36: AM
answered-by-expert Expert Answer

Slant height (ℓ) =7 m. Let r = radius of the base.

Circumference of the base = 88 m

begin mathsize 12px style 2 πr space equals space 88 space straight m
straight r space equals space fraction numerator 88 cross times 7 over denominator 2 cross times 22 end fraction
straight r space equals space 14 space straight m
Lateral space surface space area space equals space πr l italic space
equals space 22 over 7 cross times 14 cross times 7
equals space 308 space straight m squared end style

Lateral surface area of the pile of sand is 308 m2

Answered by | 17 Oct, 2017, 11:36: AM
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