Question

the diameter of a basketball is 9.50 inches what is the volume of the ball rounded to the nearest hundreth

Answer 1

Answer: 448.69 cubic inches

Explanation:

We know that the shape of a basket ball is sphere.

Also, the volume of sphere is given by :-

`V=(4)/(3)\pi r^3`

Given : The diameter of a basketball is 9.50 inches

Then , the radius of basketball =
`(d)/(2)=(9.5)/(2)=4.75\text{ inches}`

Now, the volume of basket ball will be :-

`V=(4)/(3)(3.14) (4.75)^3\\\\\Rightarrow\ V=448.692916667\approx448.69\text{ cubic inches}`

Hence, the volume of the ball rounded =448.69 cubic inches

Answer 2

Volume = (4/3)x PI x r^3

using 3.14 for PI

r = 9.5/2 = 4.75

(4/3) x 3.14 x 4.75^3 = 448.69 cubic inches