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A conical tent is $12 m$ high and the radius of its base is $16 m$ . What is the cost of the canvas required to make the tent if the cost of $1 m 2$ canvas is Rs. $70 ?$

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Rs.

70359.7

Rs.

70399.7

Rs.

70329.7

Rs.

70389.7

answer is B.

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Detailed Solution

Given-

r = 16 m h = 12 m

Slant height can be calculated as,

⇒ l = h 2 + r 2 ⇒ l = 122 + 162 ⇒ l = 144 + 256 ∴ l = 20 m

First, we will find the area of the canvas.

Area of canvas = π r l = 227 × 16 × 20 = 70407 = 1005.71

Now, we will find the cost of the canvas required to make the tent.

⇒

Area of canvas

×

rate

= 1005.71 × 70 = 70399.7

Thus, the cost of the canvas required to make the tent is Rs.

70399.7

.
Hence, option 2 is the correct option.

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