Question 98

The volume of a hemisphere is 5749.33 cubic cm. Find its diameter (in cm).

Solution

Let radius of hemisphere = $$r$$ cm

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

=> $$\frac{2}{3}\times\frac{22}{7}\times(r)^3=5749.33$$

=> $$(r)^3=5749.33\times\frac{21}{44}$$

=> $$(r)^3=274.399\equiv2744$$

=> $$r=\sqrt[3]{14\times196}=14$$ cm

$$\therefore$$ Diameter = $$2\times14=28$$ cm

=> Ans - (D)

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