Question

12) The radius of a sphere is 7 in. What is the sphere's volume? Round to the nearest tenth, if necessary. A) 723.2 cm3 B) 1436.8 cm3 C) 1868.2 cm3 D) 2052.5 cm3

Answer 1

Hey there!!

The volume of a sphere =

...
`(4)/(3) \pi r^(3)`

'r' is the radius.

The radius is given by 7 in.

The volume =

...
`(4)/(3) \pi 7^(3)`

...
`(4)/(3)(3.14)(343)`

...
`(4)/(3)(1077.02)`

...
`4(359.19)`

...
`1436.76`

Hence, the volume is 1436.8 cm³ as stated in option(B)

Hope my answer helps!

Answer 2

Given the radius
`r`, the volume of a sphere is

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

So, in your case, the volume is

`(4)/(3)\cdot 7^3 \pi= (1372)/(3)\pi \approx 1436.7550402`

So, the closest option is 1436.8 cm3