Question

Find the volume of sphere whose surface area is 452 4/7cm^2​

Answer 1

Answer:

Volume = 905.14 cm³

Step-by-step explanation:

$Surface Area = 4\pi R^{2} = 452\frac{4}{7}$

⇒ $4\pi R^{2} = \frac{3168}{7}$

$R^{2} = \frac{3168}{7} * \frac{7}{22} * \frac{1}{4} = 36$

$R = \sqrt{36} = 6$

Now, Volume of Sphere = $\frac{4}{3}\pi R^{3} = \frac{4}{3}\pi (6)^{3} = \frac{4}{3} *\frac{22}{7} * 216 = 905.14 cm^{3}$