The base of a hemispherical bowl has a circumference of 132 cm. Find the capacity of the bowl.(Use $π =\frac{22}{7}$)
Answer & explanation
Correct answer: option 2
Circumference of base of hemisphere bowl is = 2 × π × r
ATQ,
2 × \(\frac{22}{7}\) × r = 132
r = 21 cm
Now, Capacity of hemispherical bowl = \(\frac{2}{3}\)π r³
= \(\frac{2}{3}\) × \(\frac{22}{7}\) × 21³
= 2 × 22 × 21²
= 19404 cm³