Question

The the volume of a conical tent is 1232 cubic meter and area of its base is 154 square metre if the breadth of the canvas is 2 metre then how long canvas will required for the tent​

Answer 1

Answer:

550 m² long canvas will required for the tent​

Step-by-step explanation:

Given,

         The the volume of a conical tent = 1232 (meter)³

          Area of its base = 154 (metre)²

         The breadth of the canvas = 2 metre

Formula used,

         The the volume of a conical tent=$\frac{1}{3} \cdot \pi \cdot r^2 \cdot h$

                                                           $1232=\frac{1}{3} \cdot 154 \cdot h \\ \\ h=\frac{1232 \cdot 3}{154} =\frac{3696}{154} \\ \\ h=24 m$

Also given,

                           $\pi R^2=154\\ \\ R^2=\frac{154}{\pi} =\frac{154 \cdot 7}{22} =49\\ \\ R=7$

               Radius = 7 m

Length L=$\sqrt[2]{R^2+h^2} =\sqrt{7^2+24^2} =\sqrt{576+49} =\sqrt{625} =25$

Curved surface area of cone = πrl

                                                  =$\frac{22}{7} \cdot 7 \cdot 25 = 550 m^2$