Question 23

The volume of a hemisphere is 19404 cm3. Find its diameter (in cm).

Solution

Let radius of hemisphere = $$r$$ cm

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

=> $$\frac{2}{3}\times\frac{22}{7}\times(r)^3=19404$$

=> $$(r)^3=19404\times\frac{21}{44}$$

=> $$(r)^3=441\times21$$

=> $$r=\sqrt[3]{21\times21\times21}=21$$ cm

$$\therefore$$ Diameter = $$2\times21=42$$ cm

=> Ans - (A)

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: