Question

a conical tent , 56 in diameter , requires 3080 sq cm of canvas for the surface . find its height.

Answer 1

SOLUTION:-

Given:

In a conical tent, 56 in diameter & required area of canvas for the surface 3080cm².

To find:

The height of the conical tent.

Explanation:

We have,

• Diameter of conical tent= 56cm
• Radius of the conical tent= 56/2= 28cm

Area of the curve surface of cone=3080cm².

•Using Formula of the curved surface area of the cone: πrl

$\frac{22}{ 7} \times 28cm \times l = 3080 {cm}^{2} \\ \\ 22 \times 4cm \times l = 3080 {cm}^{2} \\ \\ 4l = \frac{3080}{22} \\ \\ 4l = 140 cm \\ \\ l = \frac{140}{4} cm \\ \\ l = 35cm$

Now,

Using formula of the slant height:

l² = r² + h²

h² = l² - r²

h² = [35² - 28²]cm

h² = 1225cm - 784cm

h² = 441cm

h= √441cm

h= 21cm

Thus,

The height of the conical tent is 21cm.

Answer 2

Your answer is attached above..

Hope it helps....