Mathematics

A cone is 14cm deep and the base radius is 41/2cm. Calculate the volume of…

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: 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)