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19. what is the volume of this beach ball if its width is 24 inches? (u…

Question

  1. what is the volume of this beach ball if its width is 24 inches? (use 3.14 for $\pi$)

57,905.84 in$^3$
904.78 in$^3$
375.69 in$^3$
7,234.56 in$^3$

Explanation:

Step1: Find the radius of the beach ball

The width of the beach ball is its diameter. The diameter \( d = 24 \) inches, so the radius \( r=\frac{d}{2}=\frac{24}{2} = 12 \) inches.

Step2: Use the volume formula for a sphere

The volume \( V \) of a sphere is given by the formula \( V=\frac{4}{3}\pi r^{3} \). Substitute \( \pi = 3.14 \) and \( r = 12 \) into the formula:

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Answer:

7,234.56 in³