Question

the volume of sphere whose surface area is 2464 m²​

Answer 1

Answer:

Given,

Surface area of the sphere=2464cm²

Let the radius of the sphere be r.

Then, surface area of the sphere=4πr²

4πr² =2464

$4 \: \times \frac{22}{7} \: \times \: {r}^{2} \: = \: 2464$

${r}^{2} = \: \frac{2464 \: \times \: 7}{4 \times 22} \: = \: 196$

r = 14cm

So, volume=

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

$\frac{4}{3}$

× multiple this fraction

$\frac{22}{7}$

×

×14×14×14

=11498.67cm³