A friction clutch in the form of the frustum of a cone with radii 16 & 10 cm and height is 8m. Find the LSA & it's volume in multiples of π

Question

A friction clutch in the form of the frustum of a cone with radii16cm, and 10 cm and height is 8m. Find the lateral surface area & it's volume in multiples of π.

Comments

Pls tell if the answer is correct or not.

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Oh sure pls wait! I will check it. Thanks

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I think that it should be 8cm.

Answer 1

Given:- 

r₁ = 16 cm

r₂ = 10 cm

h = 8 cm

Let l be the slant height of the friction clutch, then

l = √(h² + {r₁ - r₂}²)

l =  √(64 + 36)

l = √100 = 10 cm 

L.S.A of friction clutch 

= π(r₁ + r₂)l

= 260π cm² 

Volume of friction clutch 

= \(\frac{πh}{3} \)(r₁² + r₂² + r₁r₂)

= \(\frac{8π}{3} \) (256 + 100 + 160)

= \(\frac{8π}{3} \) × \(\frac{516}{3} \)

= 8π × 172

= 1376π cm³

Comments

My god, the answer is right! Thank you!!!

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Thank you for so much appreciation

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Haha, welcome!