A cylindrical glass of radius 3.5 cm and height 12 cm is filled with water right to the brim. Six identical glass marbles, each a sphere of radius 1.4 cm, are dropped in one by one. Find the volume of water that spills out, in cubic centimetres, correct to two decimals. (Take π = 22/7.)

Question

Accepted Answer

68.99. A full glass spills exactly the volume of whatever is put in. One marble = 4/3\π (1.4)^3 = 4/3 × 22/7 × 2.744 = 11.50 cm³. Six marbles = 6 × 11.50 = 68.99 cm³, so that much water spills. 34.5 uses 2/3\π r^3 for each marble; 11.5 is one marble only; 462 is the capacity of the glass, which is not what was asked.

A cylindrical glass of radius 3.5 cm and height 12 cm is filled with water right to the brim. Six identical glass marbles, each a sphere of radius 1.4 cm, are dropped in one by one. Find the volume of water that spills out, in cubic centimetres, correct to two decimals. (Take π = 22/7.)

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