Answer:
The volume of the tent is option A) 226 ft³
Step-by-step explanation:
The given data are,
A cone-shaped tent has a diameter of 12 ft.
The height of the cone is 6 ft.
To find the volume of the tent :
The volume of the tent can be found using the formula for volume of the cone, since the tent is in the shape of a cone.
Volume of the cone = (1/3)πr²h
where, r is the radius of the cone. The diameter is given as 12 ft. Therefore, to find the radius = diameter /2 = 12/2 = 6 ft.
The radius, r = 6 ft.
The height h of the cone is h= 6 ft.
Volume of the cone = (1/3)× 3.14× 6²× 6.
⇒ (1/3)× 3.14× 216
⇒ 678.24 / 3
⇒ 226.08 (which is approximately 226)
⇒ 226 cubic. ft
Therefore, the volume of the tent is option A) 226 ft³