A solid metal cone of radius 5 cm and height 9 cm is dropped into a tank whose base is a rectangle 15 cm by 10 cm and which already holds some water. The cone sinks completely. By how many centimetres does the water level rise? (Take π = 3.14.)

Question

Accepted Answer

1.57. Cone = 1/3\π r^2 h = 1/3(3.14)(25)(9) = 235.5 cm³. That volume spreads over the rectangular base of area 15 × 10 = 150 cm², so rise = 235.5 ÷ 150 = 1.57 cm. 4.71 forgets the 1/3 on the cone; 3.14 doubles the answer; 0.157 slips the decimal point one place.

A solid metal cone of radius 5 cm and height 9 cm is dropped into a tank whose base is a rectangle 15 cm by 10 cm and which already holds some water. The cone sinks completely. By how many centimetres does the water level rise? (Take π = 3.14.)

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