Question

The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Pi. Round to the nearest tenth of a cubic inch.

Recall the formula V = four-thirds pi r cubed

Answer 1

Answer:

The volume of air that can be hold is 267.9 inches³.

Step-by-step explanation:

Given that the volume of sphere formula is V = 4/3×π×r³ where r represents radius of sphere. Then substitute the values :

$v = \frac{4}{3} \times \pi \times {r}^{3}$

Let π = 3.14,

Let r = 4,

$v = \frac{4}{3} \times 3.14 \times {4}^{3}$

$v = \frac{4}{3} \times 200.96$

$v = 267.9 \: {inches}^{3} (near.tenth)$

Answer 2

The soccer can hold air up to the  volume of 267.9 cubic inches.

What is volume?

The measure of the capacity that an object holds is called volume.

Formula for the volume of sphere

$v = \frac{4}{3} \pi r^{3}$

Where, v is the volume of sphere

r is the radius of sphere

π = 3.14

According to the given question

The radius of soccer is 4 inches.

Therefore,

The volume of the soccer = $\frac{4}{3}\pi (4)^{3}$            (shape of soccer is spherical)

Volume of soccer = $\frac{4}{3} (3.14)(64)$ $= 267.946 cubic inches$

Hence, the soccer can hold air up to the  volume of 267.9 cubic inches.

Learn more about the volume of sphere here:

https://brainly.com/question/9994313

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