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Curved surface area of cone is to be painted. Volume and height of cone is 15400 cm3 and height 12 cm. If painting cost is at rate of Rs. 15 per cm, then what will be the total painting cost?

Curved surface area of cone is to be painted. Volume and height of cone is 15400 cm3 and height 12 cm. If painting cost is at rate of Rs. 15 per cm, then what will be the total painting cost? Correct Answer Rs. 61050

Given:

Volume of cone = 15400 cm3

Height of cone = 12 cm

Rate of painting = Rs. 15 per cm

Formula used:

Volume of cone = 1/3 πr2h

Calculation:

Let the radius of the cone be r cm

Volume of cone = (1/3) × (22/7) × r2 × 12

⇒ 15400 = (1/3) × (22/7) × r2 × 12

⇒ r2 = 1225

⇒ r = 35 cm

Slant height of cone = √(352 + 122) = 37 cm

Curved surface area of cone = (22/7) × 35 × 37 = 4070 cm2

∴ Total cost of painting = 4070 × 15 = Rs. 61050

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