Q.

Find the curved surface area of a frustum cone with larger and smaller radii of 35 m and 10 m, respectively. The slant height is 45 m. (Use π = 3)

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a

6,275 m2

b

6,175 m2 

c

6,375 m2

d

6,075 m2

answer is C.

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Detailed Solution

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The curved surface area of a frustum is given by the formula,

 CSA = π(R+r)l

We have, R = 35 m, r = 10 m, l = 45 m

Therefore,

CSA = 3 (35 + 10) × 45

⇒ CSA = 3 × 45 × 45

⇒ CSA = 6,075 m2

So, the curved surface area of the given frustum is 6,075 m2.

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