Answer:
As Per Given Information
Diameter of of baseball = 74 mm
We've been asked to find the volume of baseball .
As we know
Radius = Diameter/2
Radius = 74/2
Radius = 37 mm ( 1 mm = 0.1 cm)
Radius = 37/10 cm
Radius = 3.7 cm
Now let's calculate the volume of baseball
volume of baseball = 4/3 πr³
Put the given value we obtain
→ volume of baseball = 4/3 × 3.14 × (3.7)³
→ volume of baseball = 4/3 × 3.14 × 50.653
→ volume of baseball = 4/3 × 159.05042
→ volume of baseball = 636.20168/3
→ volume of baseball = 212.06
→ volume of baseball = 212 cm³ ( approx)
So, the volume of baseball is 212 cm³.
Solution:
We know that:
[tex]V_{Baseball} = \frac{4}{3} \pi r^{3} \\ \\ Diameter = 74 \space\ mm\\\\Radius = \frac{Diameter}{2}[/tex]
Finding the area of the baseball:
[tex]V_{Baseball} = (\frac{4}{3})( \pi )(r^{3})[/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(\frac{74}{2}) ^{3}][/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(37) ^{3}][/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][50653}][/tex]
[tex]V_{Baseball} = 212067.227 \space\ mm^{3} \space\ (Using\ calculator)[/tex]
Rounding the volume to the nearest tenth:
[tex]V_{Baseball} = 212067.227 \space\ mm^{3} = 212067.2 \space\ mm^{3}[/tex]
Thus, 212067.2 mm³ is the volume of the baseball.
