The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. How much space is between the ball and the rim if someone makes a shot and the ball goes exactly through the center of the rim?

Question

lgbasallote · Answer

how much space means you need to fnd the volume

so find the volume of a basketball with the 18-inch diameter and the volume of a standard basketball...then subtract them

do you need more help?@jayda

lgbasallote · Answer

@jayda

anonymous · Answer

so what would the diameter of the standard basketball be

lgbasallote · Answer

circumference = $\pi d$

diameter = $\frac{circumference}{\pi}$

lgbasallote · Answer

so divide 30 by pi to get the diameter

anonymous · Answer

so 9.6.

lgbasallote · Answer

yup that's the diameter

anonymous · Answer

and is the formula 4/3 x pi x r squared?

lgbasallote · Answer

r cube

$$\large V = \frac{4}{3} \pi r^3$$

anonymous · Answer

woops yeah i meant cubed

lgbasallote · Answer

so can you solve the two volumes now?

anonymous · Answer

yeah

lgbasallote · Answer

great! so to summarize.... it's $$\huge V_{\text{rim}} - V_{\text{basketball}} = \text{answer}$$

lgbasallote · Answer

V means volume ;)

anonymous · Answer

652?

lgbasallote · Answer

hmm let me check..

anonymous · Answer

i dont think its right. its none of my answers. ha

lgbasallote · Answer

$$V_{rim} = \frac{4}{3} \pi (9)^3$$
$$V_{rim} = 3054$$

$$V_{ball} = \frac{4}{3} \pi (4.8)^3$$
$$V_{ball} = 463$$

were those what you got?

anonymous · Answer

no i didnt get them.. but i tried it again and i got them.  idk why i didnt get them the first time? ha

lgbasallote · Answer

hmm maybe you didnt divide by 2 to get the radius?

anonymous · Answer

im not sure. so then subtract 3054 and 463?