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

Answer:

The volume of the balloon is 18.84 inches³

Step-by-step 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

Answer:

Hello there! Your answer should be 381.51.

Step-by-step explanation:

This is the formula for volume: V = $\frac{4}{3}\pi \r^{3}$ r^3

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

$= \frac{4}{3} \pi (4.5)^{3}$

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:

$= \frac{4}{3} \pi (91.125)\\\\= \frac{364.5}{3}$

Your final answer should be:

$= 381.51$

Hope this was helpful! ^^