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

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

$\dfrac{4}{3}\pi r^3$

So, in your case, the volume is

$\dfrac{4}{3}\cdot 7^3 \pi= \dfrac{1372}{3}\pi \approx 1436.7550402$

So, the closest option is 1436.8 cm3

Answer 2

Hey there!!

The volume of a sphere =

... $\frac{4}{3} \pi r^{3}$

'r' is the radius.

The radius is given by 7 in.

The volume =

... $\frac{4}{3} \pi 7^{3}$

... $\frac{4}{3}(3.14)(343)$

... $\frac{4}{3}(1077.02)$

... $4(359.19)$

... $1436.76$

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

Hope my answer helps!