Question

A conical tent of radius of 12 m and height 16 m is to be made, then the cost of canvas required at the rate Rs 10 per $m^2$ is

• A. Rs 7445
• B. Rs 7543
• C. Rs 7550
• D. Rs 7500

Answer 1

The correct option is B Rs 7543

The height of the conical tent $h=16m$
And radius $r=12m$
The slant height $l=\sqrt{h^2+r^2}$
$l=\sqrt{{16}^2+{12}^2}$
$l=20m$
The curved surface area of the cone
$=\pi rl$
$=754.28m^2$
The cost of canvas required at the rate
$=Rs.10\times 754.28$
$=Rs.7542.8$
$=Rs.7543$
Hence, this is the answer.