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]

Answer Details

The volume of a cone is given by the formula: V = (1/3)πr^{2}h, where r is the radius of the base and h is the height of the cone. The cone in the question has height 14 cm and base radius 4.5 cm. Therefore, its volume is: V = (1/3) × (22/7) × (4.5)^{2} × 14 = 346.5 cm^{3} Half of this volume is: V/2 = 346.5/2 = 173.25 cm^{3} Therefore, the volume of water that is exactly half the volume of the cone is 173.25 cm^{3}. The answer closest to this value is 148.5 cm^{3}, so the correct option is: - 148.5cm^{3}