Answer:
<em>Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.</em>
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<em>a) The volume of a cylinder is the area of the base * height</em>
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<em>For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.</em>
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<em>The area of the base is π (d/2)^2 = π (2 in)^2 = 4π in^2.</em>
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<em>The volume of the cuo is 4π in^2 * 8 in = 32π in^3.</em>
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<em>Then the number of cups to take the volume of [2000 / 3] π in^2 is:</em>
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<em>[2000 / 3]π / [32π] = 20.83</em>
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<em>Answer: 21 cups.</em>
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<em>b) For this part the diameter of the cup is 8 in and the height is 8 in</em>
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<em>Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3</em>
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<em>And the number of cups needed is [2000π/3] / (128π) = 5.2 </em>
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<em>Answer: 5 cups. </em><em>Good Luck!</em>
<em>From ~Itsbrazts~.</em>
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