Explained: "Determine how much air could fit inside a..."

High School
Geometry
High school geometry
Circles

kloseyq

Answered question

2021-12-19

Determine how much air could fit inside a soccer ball with radius of 4.5 inches. Use 3.14 for

π

Answer & Explanation

Alex Sheppard

Beginner2021-12-20Added 36 answers

Step 1
That mean we have to find the volume of the Soccer ball.
Since it is a Shere with radius
$r = 4.5 inches$
$∴$ volume of Soccer ball $= \frac{4}{3} ⊼ r^{3}$
$V = \frac{4}{3} \times \overset{―}{\land} \times {(4.5)}^{3}$
$= \frac{4}{3} \times \overset{―}{\land} \times 91.128$
$= \frac{4}{3} \times 3.14 \times 91.725$
$= \frac{4 \times 286.1325}{3}$
$= \frac{1144.53}{3}$
$= 381.51 i n^{3}$
$∴ V = 381.51 i n^{3}$

poleglit3

Beginner2021-12-21Added 32 answers

Step 1
The formula for a sphere is

V = \frac{4}{3} (3.14} ({4.5}^{3})

When you calculate that, you get.

\frac{243 (3.14)}{2}

Now you divide by 2.

= 381.7

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