5. A basketball has a diameter of 24 cm . Find the volum Use 3 for $$ \pi $$.

Question

UpStudy AI · Accepted Answer

The volume of a sphere is given by  
$$
V = \frac{4}{3}\pi r^3
$$

1. The diameter is 24 cm, so the radius is  
   $$
   r = \frac{24}{2} = 12 \text{ cm}
   $$

2. Substitute $$\pi = 3$$ and $$r = 12$$ into the formula:  
   $$
   V = \frac{4}{3} \times 3 \times 12^3
   $$

3. Simplify the expression:  
   $$
   \frac{4}{3} \times 3 = 4
   $$
   Thus,  
   $$
   V = 4 \times 12^3
   $$

4. Calculate $$12^3$$:  
   $$
   12^3 = 12 \times 12 \times 12 = 1728
   $$

5. Finally, multiply:  
   $$
   V = 4 \times 1728 = 6912
   $$

The volume of the basketball is  
$$
6912 \text{ cm}^3.
$$
The volume of the basketball is 6912 cm³.

5. A basketball has a diameter of 24 cm . Find the volum Use 3 for \( \pi \).