A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options: 226 ft3 679 ft3 905 ft3 2714 ft3

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

10 * 563.67 = 5636.7