Multiple choice

A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?

  1. 2 cm

  2. 0.33 cm

  3. 0.5 cm

  4. 1 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of cone = (1/3)pi*r^2*h = (1/3)*pi(3.5)^2*12 = 49*pi. Volume of cylinder = pi*R^2*H = pi*7^2*H = 49*pi*H. Setting 49*pi = 49*pi*H gives H = 1 cm.

AI explanation

Using the volume formula for a cone, the volume of water is one third times pi times 3.5 squared times 12, equaling 49 pi cubic cm. Let h be the height of the water in the cylindrical vessel, and using the cylinder volume formula we set 49 pi equal to pi times 7 squared times h. Solving for h, we get h equals 49 divided by 49, which is 1 cm.

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