Question

How many times the volume of the sphere is its curved surface area? ​

Answer 1

Answer:

r/3

Step-by-step explanation:

Volume of sphere

$v \: = \frac{4}{3} \pi {r}^{3}$

surface area of sphere

$a = 4\pi {r}^{2}$

Answer 2

The volume of sphere is $\frac{r}{3}$ times the curved surface area

Step-by-step explanation:

volume of the sphere = $\frac{4}{3} \pi r^3$

curved surface area of the sphere = $4\pi r^2$

we need to divide the volume of the sphere to the curved surface area of the sphere

$\frac{volume }{CSA}$

= $\frac{\frac{4}{3}\pi r^3 }{4\pi r^2}$

= $\frac{4\pi r^3}{3\times 4 \pi r^2}$

= $\frac{r}{3}$

Hence,

The volume of sphere is $\frac{r}{3}$ times the curved surface area of the sphere.

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