Question

HELP GEOMETRY!!!!!! The newest feature at the Great Park is the big orange balloon. The volume of this perfectly spherical balloon is approximately 2361.7 cubic feet. To the nearest tenth, what is the radius of the big orange balloon? 12.1 ft 8.3 ft 3.9 ft 23.6 ft

Answer 1

Answer: 8.3 ft

Explanation:

Here, The volume of this perfectly spherical balloon is approximately 2361.7 cubic feet.

Since, the volume of a sphere,
`V= (4)/(3) \pi r^3`

Where r is the radius of the sphere.

Here V= 2361.7 cubic feet

Therefore,
`2361.7=(4)/(3) \pi r^3`

⇒
`r^3= (21* 2361.7)/(88)`

⇒
`r= 563.5875^(1/3)=8.2601344693`≈8.3 feet

Thus, the radius of the sphere = 8.3 feet