Question

A baseball measures approximately 74 mm in diameter. What is the volume of a baseball? (Round your answer to the nearest tenth if needed)

Answer 1

Solution:

We know that:

$V_{Baseball} = \frac{4}{3} \pi r^{3} \\ \\ Diameter = 74 \space\ mm\\\\Radius = \frac{Diameter}{2}$

Finding the area of the baseball:

$V_{Baseball} = (\frac{4}{3})( \pi )(r^{3})$

$V_{Baseball} = [\frac{4}{3}][ 3.14 ][(\frac{74}{2}) ^{3}]$

$V_{Baseball} = [\frac{4}{3}][ 3.14 ][(37) ^{3}]$

$V_{Baseball} = [\frac{4}{3}][ 3.14 ][50653}]$

$V_{Baseball} = 212067.227 \space\ mm^{3} \space\ (Using\ calculator)$

Rounding the volume to the nearest tenth:

$V_{Baseball} = 212067.227 \space\ mm^{3} = 212067.2 \space\ mm^{3}$

Thus, 212067.2 mm³ is the volume of the baseball.

Answer 2

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.