Question 4 - Conversion of one shape to another - Chapter 12 Class 10 Surface Areas and Volumes

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Example 11 - A hemispherical tank full of water is emptied - Examples

Example 11 - Chapter 13 Class 10 Surface Areas and Volumes - Part 2
Example 11 - Chapter 13 Class 10 Surface Areas and Volumes - Part 3

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Question 4 A hemispherical tank full of water is emptied by a pipe at the rate of 34/7 litres per second. How much time will it take to empty half the tank, if it is 3m in diameter?(Take = 22/7) Volume of tank Tank is in form of hemisphere with Diameter = 3m So, radius = r = 3/2 m Volume of the tank = 2/3 3 = 2/3 22/7 (3/2)^3 = 2/3 22/7 (3 3 3)/(2 2 2) = 99/14 m3 = 99/14 1000 litres = 99000/14 litres Volume of water to be emptied = 1/2 Volume of tank = 1/2 99000/14 litres = 99000/28 litres Now, it is given that tank is emptied at 34/7 litres per second = 25/7 litres per second Time taken to empty 25/7 litres = 1 second Time taken to empty 1 litre = 1 7/25 second Time taken to empty 99000/28 litre = 7/25 99000/28 = 693000/700 = 990 second = 990/60 minutes = 16.5 minutes

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo