Chapter: Mensuration· Mathematics Part 2 (Geometry)
Answer: 10 cones
Container: R = 6 cm, H = 15 cm. Volume \(= \pi R^2 H = \pi \times 36 \times 15 = 540\pi\) cm\(^3\).
Each cone: r = 3 cm, h = 12 cm.
Volume of cone part \(= \dfrac{1}{3}\pi \times 9 \times 12 = 36\pi\) cm\(^3\); volume of hemispherical top \(= \dfrac{2}{3}\pi \times 27 = 18\pi\) cm\(^3\).
Ice-cream in one cone = \(36\pi + 18\pi = 54\pi\) cm\(^3\).
Number of cones \(= \dfrac{540\pi}{54\pi} = 10\).