Question

A tent of height 16 m is in the form of right circular cylinder with radius of base 2 m and height 6 m, surmounted by a right circular cone of the same base. Find the cost of the canvas of the tent at the rate of Rs. 100 per m.

• A. Rs. 12,947
• B. Rs. 13,947
• C. Rs. 14,947
• D. Rs. 15,947

Answer 1

The correct option is B Rs. 13,947

Radius of the cylindrical base = 2 m

Height of the cylindrical portion = 6 m

Height of the conical portion = 16 - 6 = 10 m

Slant height = $\sqrt{h^2+r^2}$

= $\sqrt{{10}^2+2^2}$

= $\sqrt{104}$

= 10.19 m

Surface area = Curved surface area of the cylindrical portion + Curved surface area of the conical portion

= $2\pi rh+\pi rl$

= $2\times 22/7\times 2\times 6+22/7\times 2\times 10.19$

=75.42 + 64.05

= 139.47 $m^2$

Therefore the cost of the canvas of the tent at the rate of $Rs.100\times 139.47=Rs.13,947$