Question

A tent has a conical roof and cylindrical wall as shown. The cylindrical wall and conical roof are of the same height. The radius of the tent is 9 meters. Ropes are used to tie the tend to the ground. A) find the height of the wall. B) Find the volume of space inside the tent.

Answer 1

as the height of cylinder is equal to that of cone, the radius is equal to the height of cylinder as the radius is cone's height.

h = 9 ; r = 9

volume = πr²h + 1/3πr²h

             = πr²h ( 1 + 1/3 )

             = 22/7 × 9×9×9 (4/3)

             = 3054.85 m³