Question

The radius of a spherical balloon is 4.5 inches.

What is the volume of the balloon?

Use 3.14 for pi.

Enter your answer, as a decimal, in the box.

______ in³

Answer 1

The volume of the balloon is 18.84 inches³

Explanation:

* Lets talk about the sphere

- Its a solid

- It has surface area = 4πr²

- It has no lateral area

- It has no faces

- It has no vertices

- It has no edges

- Its volume = (4/3) π r³

* In our problem the balloon shaped a sphere

- Its radius = 4.5 inches

- The value of π = 3.14

* Lets calculate its volume

∵ The radius = 4.5 inches

∵ π = 3.14

∵ The volume = (4/3) π r³

* Substitute the values of r and π in the formula

∴ The volume = (4/3) × 3.14 × 4.5 = 18.84 inches³

* The volume of the balloon is 18.84 inches³

Answer 2

Hello there! Your answer should be 381.51.

Explanation:

This is the formula for volume: V =
`(4)/(3)\pi \r^(3)` r^3

Now in order to solve you will first insert what you know. In this case, insert the radius, and pi:

`= (4)/(3) \pi (4.5)^(3)`

Remember, the radius is cubed so it will be 4.5 x 4.5 x 4.5

`= 91.125`

Now! You will be able to simply multiply cross. I personally multiply the 4 by my new radius and divide that by 3 like show:

`= (4)/(3) \pi (91.125)\\\\= (364.5)/(3) \\\\`

Your final answer should be:

`= 381.51`

Hope this was helpful! ^^