Areas and Volumes (III)
A hemisphere and a cylinder of the same radius 1.5 cm.
21pi cm^3 of water is poured into the test-tube.
Find the depth of the water.
F.3 Maths
2011-01-21 7:41 am
回答 (1)
2011-01-21 8:00 am
✔ 最佳答案
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ULet d be the depth of the water :Hemisphere + cylinder = 21π(1/2) (4/3)π(1.5)³ + π(1.5)² (d - 1.5) = 21π .......................................Tips : The height of the cylinder = d - 1.5 cm(1/2) (4/3)(1.5)³ + (1.5)² (d - 1.5) = 21(1/2) (4/3) (3/2)³ + (3/2)² (d - 1.5) = 21(9/4) + (9/4)(d - 1.5) = 21(9/4)(1 + d - 1.5) = 21d - 0.5 = 28/3d = 59/6The depth pf the water = 59/6 cm.
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