Question

A bus stop is barricated from the remaining part of the road, by using 50 hollow cones made of recycled card-board. 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 Rs. 12 per m2, what will be the cost of painting all these cones. (Use 𝜋 = 3.14 and √1.04 = 1.02)

Answer 1

Radius of cone`(r)=40/2=20m=0.2m` 

Height of cone=1m 

Slant height of cone(l)`=sqrt(h^2+r^2)` 

=`sqrt(1^2+(0.2)^2m)` 

=`sqrt(1.04m=1.02m)` 

Curved surface area of each one 

=`pirl=(3.14xx0.2xx1.02)m^2` 

=` 0.64056m^2`

CSA of 50 such cone`=50xx0.64056m^2=32.028m^2` 

Cost of painting` 1m^2` area=Rs.12. 

Cost of painting` 32.028m^2 area=Rs(32.028xx12)` 

= Rs.384.326PS 

Thus, it will cost Rs. 38434 (Approx) in painting the so hollow cones.