The radius and height of cone are 21cm and 20cm respectively. The radi

1.	The radius and height of cone are 21cm and 20cm respectively. The radius of cylinder is 7 less than the radius of cone. The volume of cylinder is 6160 cubic.cm. Find the ratio of curved surface area of cylinder and cone.1. 82 : 412. 41 : 783. 87 : 404. 40 : 875. 41 : 82
Answer» Correct Answer - Option 4 : 40 : 87 Given: Using pythagoras theorem, ⇒ (slant height)² = 21² + 20² ⇒ slant height = 29 cm ⇒ Radius of cylinder = 21 - 7 = 14cm ⇒ Volume of cylinder = 6160 = πr²h ⇒ h = 10cm ⇒ Curved surface area of cone = πrl = π × 21 × 29 = 609π sq.cm ⇒ Curved surface area of cylinder = 2πrh = 2π × 14 × 10 = 280π sq.cm ∴ Required ratio = 280π : 609π = 40 : 87

The radius and height of cone are 21cm and 20cm respectively. The radius of cylinder is 7 less than the radius of cone. The volume of cylinder is 6160 cubic.cm. Find the ratio of curved surface area of cylinder and cone.1. 82 : 412. 41 : 783. 87 : 404. 40 : 875. 41 : 82

Answer» Correct Answer - Option 4 : 40 : 87

Given:

Using pythagoras theorem,

⇒ (slant height)² = 21² + 20²

⇒ slant height = 29 cm

⇒ Radius of cylinder = 21 - 7 = 14cm

⇒ Volume of cylinder = 6160 = πr²h

⇒ h = 10cm

⇒ Curved surface area of cone = πrl = π × 21 × 29 = 609π sq.cm

⇒ Curved surface area of cylinder = 2πrh = 2π × 14 × 10 = 280π sq.cm

∴ Required ratio = 280π : 609π = 40 : 87

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The radius and height of cone are 21cm and 20cm respectively. The radius of cylinder is 7 less than the radius of cone. The volume of cylinder is 6160 cubic.cm. Find the ratio of curved surface area of cylinder and cone.1. 82 : 412. 41 : 783. 87 : 404. 40 : 875. 41 : 82

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