Multiple choice

A cone has a height and radius of 10 cm and 3 cm, respectively. This cone is filled with icecream and some extra icecream is kept in the form of a hemisphere of radius 3 cm at the top of the cone. What is the volume of the icecream used (approx.)? (1 ml = 1 cm3)

  1. 50 ml

  2. 90 ml

  3. 100 ml

  4. 150 ml

  5. 900 ml
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of cone = (1/3) * pi * r^2 * h = (1/3) * pi * 9 * 10 = 30 * pi approx 94.2. Volume of hemisphere = (2/3) * pi * r^3 = (2/3) * pi * 27 = 18 * pi approx 56.5. Total = 48 * pi approx 150.8.

AI explanation

Using the volume of a cone formula, the cone's volume is (1/3) * pi * 3^2 * 10 = 30*pi. Using the volume of a sphere formula for the top hemisphere, its volume is (2/3) * pi * 3^3 = 18*pi. Adding these gives a total volume of 48*pi, which is approximately 48 * 3.1416 = 150.8 cm3. The volume of the icecream used is approximately 150 ml.

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