The vertical height of a right circular conical tent is 4m and the volume of space inside it is 968/7 cubic metre. Find the canvas required to make the tent.
the equation for the volume of a conical tent is v = 1/3 * height * area of the base = 1/3 ×hπr² where v - volume h - height of the conical tent r - radius of base circle area of the base = 3v/h πr² = 3 *968/7 m³ /4 m r² = 3 * 968 * 7 / (7 * 22* 4 ) = 33 r = 5.74 m area of the curved surface = πrl where l is the slant height l² = r² + h² = 5.74² + 4² = 33 + 16 = 49 m l = 7 m then the area of the curved surface is ; area = πrl = (22/7) * 5.74 * 7 = 126.28 m² the canvas should have area 126.28 m² to cover the tent
