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Surface Areas and Volumes
A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filling ice-cream cones of radius 2 cm and height 7 cm up to its brim. How many children will get the ice cream cones?
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1 Reply
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Volume of the ice cream cone = (1/3) * π * (cone radius)^2 * (cone height)
Substituting the given values, we have:
Volume of the ice cream cone = (1/3) * π * (2 cm)^2 * 7 cm = (1/3) * π * 4 cm² * 7 cm = 9.333 cm³ (rounded to three decimal places)
Now, we can calculate the number of children who will get the ice cream cones by dividing the total volume of the ice cream brick by the volume of each ice cream cone:
Number of children = (Volume of the ice cream brick) / (Volume of each ice cream cone)
Number of children = 10,648 cm³ / 9.333 cm³ ≈ 1,141.17Since we cannot have a fraction of a child, we round down to the nearest whole number. Therefore, approximately 1,141 children will get the ice cream cones.
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