Question

Find the surface area of a sphere whose volume is 606.375

Answer 1

Answer:

Surface area of sphere is 346.36

Step-by-step explanation:

Given: volume of sphere is 606.375

Let the radius of sphere be r

Formula:

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

Calculation:

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

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

$r^3=144.703125$

Taking cube root both sides to get r

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

Now we calculate the surface area of sphere.

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

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

$\text{Surface Area }=346.36$

Thus, Surface area of sphere is 346.36

Answer 2

Answer:

Surface area of sphere is 346.36

Step-by-step explanation:

Given: volume of sphere is 606.375

Let the radius of sphere be r

Formula:

Volume of sphere =

Calculation:

Taking cube root both sides to get r

Now we calculate the surface area of sphere.

Thus, Surface area of sphere is 346.36 m^2

=346.5 m^2