Monica has a piece of canvas whose area is 551 m². She uses it tohave a conical tent made, with a base radius of 7 m. Assuming that allthe stitching margins and the wastage incurred while cutting, amountsto approximately 1 m²(i)Find the slant height of the conical tent so formed.(ii)Find the height of the conical tent so formed.(iii) find the volume of the conical tent?

(i) To find the slant height of the conical tent, we need to use the formula for the surface area of a cone, which is πr(l + r), where r is the radius and l is the slant height. We know the total area of the canvas is 551 m² and the radius is 7 m.

So, 551 = π*7(l + 7)

Solving for l, we get l = (551/7π) - 7 = 25.14 m.

(ii) To find the height of the conical tent, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the slant height (l), one side is the radius (r), and the other side is the height (h) we're trying to find.

So, h = √(l² - r²) = √((25.14)² - 7²) = 24.14 m.

(iii) The volume of a cone is given by the formula V = 1/3πr²h. Substituting the values we have,

V = 1/3π*(7)²*(24.14) = 1239.57 m³.