Question

. A bus stop is barricaded from the remaining part of the road, by using 50 hollow
cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height
1 m. If the outer side of each of the cones is to be painted and the cost of painting is
12 per m , what will be the cost of painting all these cones? (Use t = 3.14 and take
11.04 = 1.02)​

Answer 1

Answer:

Radius of the cone (r) = 40/2 cm = 20 cm = 0.2 m

Height of the cone (h) = 1 m

Let l  be the slant height of a cone.

∴ l = √h2 + r2 

⇒ l = √12 + 0.22 

⇒ l = √1.04 

⇒ l = 1.02 m

Rate of painting = ₹12 per m2 

Curved surface of 1 cone = πrl m2

                                        = (3.14 × 0.2 × 1.02) m2

                                        = 0.64056 m2

Curved surface of such 50 cones = (50 × 0.64056) m2

                                                                = 32.028 m2

Cost of painting all these cones = ₹(32.028 × 12)

                                                  = ₹384.34

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