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.
49.5cm^{3} - B.
99cm^{3} - C.
148.5cm^{3} - D.
297cm^{3} - E.
445.5cm^{3}
Correct Answer: Option 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)