A cone is 14cm deep and the base radius is 41/2cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = 22/7]
A. 49.5cm3 B. 99cm3 C. 148.5cm3 D. 297cm3 E. 445.5cm3
Correct Answer: C
Explanation
Volume of a cone = \(\frac{1}{3} \pi r^2 h\) r = 4\(\frac{1}{2}\) cm; h = 14 cm Volume of cone = \(\frac{1}{3} \times \frac{22}{7} \times \frac{9}{2} \times \frac{9}{2} \times 14\) = 297 cm\(^3\) When half- filled, the volume of the water = \(\frac{297}{2} = 148.5 cm^3\)
