Question

JUllas
6
3. Find the surface area of a sphere whose volume is 606.375 m.
4. Find the volume of a​

Answer 1

Step-by-step explanation:

volume of sphere is 606.375

Let the radius of sphere be r

Formula:

Volume of sphere = \frac{4}{3}\pi r^3

3

4

πr

3

Calculation:

606.375=\frac{4}{3}\pi r^3606.375=

3

4

πr

3

r^3=\frac{606.375\times 3\times 7}{4\times 22}r

3

=

4×22

606.375×3×7

r^3=144.703125r

3

=144.703125

Taking cube root both sides to get r

r=\sqrt[3]{144.703125}=5.25r=

3

144.703125

=5.25

Now we calculate the surface area of sphere.

\text{Surface Area }=4\pi r^2Surface Area =4πr

2

\text{Surface Area }=4\pi \times 5.25^2Surface Area =4π×5.25

2

\text{Surface Area }=346.36Surface Area =346.36

Thus, Surface area of sphere is 346.36