Question 23

The total surface area of a hemisphere is $$462 cm^{2}$$. Find its diameter (in cm).

Solution

Let the radius of hemisphere = $$r$$ cm

=> Total surface area = $$3\pi r^2=462$$

=> $$3\times\frac{22}{7}\times r^2=462$$

=> $$r^2=462\times\frac{7}{66}=49$$

=> $$r=\sqrt{49}=7$$

$$\therefore$$ Diameter = $$2\times7=14$$ cm

=> Ans - (D)

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