Question

find the volume of the Sphere whose surface area is 616 sq cm.​

Answer 1

So we know

Surface are of sphere = 4.pie.r²

So

$616 = 4 \times \pi \times {r}^{2}$

$154 = \frac{22}{7} \times {r}^{2}$

$\frac{2 \times 7 \times 11 \times 7}{2 \times 11} = {r}^{2}$

$r = 7$

So radius is 7.

Now volume = 4/3 × pie × r³

$\frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7$

$\frac{4312}{ 3}$

So volume is 4312/3 or 1437.4 cm³

Answer 2

Answer:

The volume of the Sphere whose surface area is 616 sq cm. is $1437.33 cm^3$ .

Step-by-step explanation:

Given, surface area of sphere =616 sq. cm

Find:  the volume of the Sphere  

Step 1: Find radius by using surface area of sphere

We know surface area of sphere $=4\pi r^2 =616$

⇒ $4 \times \frac{22}{7} \times r^2 = 616 cm^2\\\frac{88}{7} \times r^2 = 616 cm^2\\ r^2 = 616 \times \frac{7}{88} \\r^2 = 7 \times 7$

⇒$r^2 =49$

⇒$r=7 cm$

Step 2: By using radius find volume of a sphere

The volume of a sphere of radius $'r' = \frac{4}{3} \pi r^3$

$= \frac{4}{3} \times \frac{22}{7} \times7\times7 \times7$

$=1437.33 cm^3$

So, The volume of a sphere is $1437.33 cm^3$