Question

A conical tent is 10 m high and the radius of its base is 24 m .find (1) slant hight of the tent. (2) cost of the canvas required to make the tent ,if the cost of 1m^2 canvas is rupess 70

Answer 1

Given that : Height of conical tent = 10 m

Radius of its base = 24 m

(1) Answer : 26 m

Solution :
__________

As we know that :

$Slant \: height \: l = \sqrt{ {h}^{2} + {r}^{2} } \\ \\ = > l = \sqrt{ {(10)}^{2} + {(24)}^{2} } \\ \\ = > l = \sqrt{100 + 576} \\ \\ = > l = \sqrt{676} = 26 \: m$

(2)

Answer : Rs. 137279.8

Solution :
__________

As we know that : Curved surface area of the cone = πrl

$CSA = \frac{22}{7} \times 24 \times 26 \\ \\ = > CSA = 1961.14 \: {m}^{2}$

Also given that : cost of 1 m² canvas= Rs. 70

Then total cost :

$7 \times 1961.14 = 137279.8$

So, the total cost will be Rs. 137279.8