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23 Dec 2017
3. (10 marks) A paper cup has the shape depicted below. All of its horizontal cross sections are circles; the radius of the cup's bottom is 3cm and the radius of its top is 6cm. The cup is full of water, which has a density of 1000kg/m". The water is drunk through a vertical straw that extends 10cm above the top of the cup and reaches the bottom of the cup. Express as an explicit definite integral the work performed in drinking all the water. Do not evaluate this integral. For the acceleration due to gravity use the value 9.8m/sec. 20 cm
3. (10 marks) A paper cup has the shape depicted below. All of its horizontal cross sections are circles; the radius of the cup's bottom is 3cm and the radius of its top is 6cm. The cup is full of water, which has a density of 1000kg/m". The water is drunk through a vertical straw that extends 10cm above the top of the cup and reaches the bottom of the cup. Express as an explicit definite integral the work performed in drinking all the water. Do not evaluate this integral. For the acceleration due to gravity use the value 9.8m/sec. 20 cm
Lelia LubowitzLv2
25 Dec 2017
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