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The cost of decorating the curved surface area of a cone is Rs. 6,270. If its base diameter is 42 cm and slant height is 19 cm, then what is the per c
Question

The cost of decorating the curved surface area of a cone is Rs. 6,270. If its base diameter is 42 cm and slant height is 19 cm, then what is the per cm2​ cost (in Rs.) of decoration? (Use π\pi  = 22/7)

A.

9

B.

5

C.

7

D.

3

Correct option is B

Given:

Cost of decoration = ₹6270

Diameter = 42 cm 

Radius (r) = 21 cm

Slant height (l) = 19 cm

Formula Used:

Curved Surface Area of cone = π × r × l

Cost per cm² = Total cost ÷ Curved Surface Area

Solution:

CSA =227\frac {22}7​× 21 × 19 = 22 × 3 × 19 = 1254 cm²

Cost per cm² = 6270 ÷ 1254 = ₹5

The cost per cm² of decoration is ₹5.

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