A friction clutch in the form of the frustum of a cone with radii16cm,

1.	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.
Answer» Given:- r₁ = 16 cm r₂ = 10 cm h = 800 cm Let l be the slant height of the friction clutch, then l = √(h² + {r₁ - r₂}²) l = √(640000 + 36) l = √640036 = 2√160009 cm L.S.A of friction clutch = π(r₁ + r₂)l = 52π√160009 cm Volume of friction clutch = πh/3 (r₁² + r₂² + r₁r₂) = 800π/3 (256 + 100 + 160) = 800π × 516/3 = 800π × 172 = 137600π cm³

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.

Answer»

Given:-

r₁ = 16 cm

r₂ = 10 cm

h = 800 cm

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

l = √(h² + {r₁ - r₂}²)

l = √(640000 + 36)

l = √640036 = 2√160009 cm

L.S.A of friction clutch

= π(r₁ + r₂)l

= 52π√160009 cm

Volume of friction clutch

= πh/3 (r₁² + r₂² + r₁r₂)

= 800π/3 (256 + 100 + 160)

= 800π × 516/3

= 800π × 172

= 137600π cm³