Question

Find the radius of a hemisphere whose volume is 625 cm^3

Answer 1

Answer:

r = $\sqrt[3]{ \frac{46875}{157}}$ cm

Explanation:

Given:

• A hemisphere in which:

              Volume = 625 cm³

To find:

The radius of the hemisphere

Proof:

According to the question,

Volume of hemisphere = $\frac{2}{3}\pi r^3$ = 625 cm³

Substituting $\pi$ = 3.14 =  $\frac{314}{100}$ in the equation, we get:

= $\frac{2}{3} X \frac{314}{100} r^3$ = 625 cm³

⇒ r³ = $\frac{625 X 100 X 3 }{314 X 2}$

⇒ r³ = $\frac{625 X 25 X 3 }{157}$

⇒ r³ = $\frac{625 X 75 }{157}$

⇒ r³ = $\frac{46875}{157}$

⇒ r = $\sqrt[3]{ \frac{46875}{157}}$ cm

Hence, proved.

Hope you got that.

Thank you.