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