3.

The circumference of the volleyball shown is approximately 72.2 centimeters. What is the approximate volume of the volleyball? Use 3.14 for π.
The answer is rounded to the nearest tenth.

1
,
575
,
723.4


3
1,575,723.4cm
3


415.3


3
415.3cm
3


6
,
376.4


3
6,376.4cm
3


11.5


11.5cm

1 answer

The formula for the volume of a sphere is V = 4/3πr³, where r is the radius.

To find the radius of the volleyball, we can use the formula for the circumference of a sphere: C = 2πr.

Rearranging this formula, we get r = C/2π.

Substituting in the given circumference of 72.2cm, we get:

r = 72.2/2π ≈ 11.5 cm

Now we can use this radius to find the volume:

V = 4/3π(11.5)³ ≈ 6516.1 cm³

Rounding to the nearest tenth, we get the approximate volume of the volleyball as 6516.1 cm³.