Q. 443.8( 16 Votes )

Answer :

Height of hollow cylinder =14 cm

Let the radius of outer radius be ‘R’ cm

Let the radius of inner radius be ‘r’ cm

Difference between inner and outer Curved surface area= 88 cm

Curved surface area of hollow cylinder

⇒ 2π(R – r)h = 88

⇒ R – r = 1 ……… (1)

Volume of metal = 176

Height of hollow cylinder = 14 cm

Volume of hollow cylinder (metal) =

⇒ (R + r)(R – r) = 4

⇒ (R + r) = 4 ………… (2)

Solving (1) and (2) we get,

R = 2.5cm

r = 1.5cm

∴ Outer diameter cm

= 5 cm

Inner diameter cm

= 3 cm

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