Last updated at May 29, 2018 by Teachoo

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Example 9 Selvi s house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions 1.57 m 1.44 m 95cm. The overhead tank has its radius 60 cm and height 95 cm. Find the height of the water left in the sump after the overhead tank has been completely filled with water from the sump which had been full. Compare the capacity of the tank with that of the sump. (Use = 3.14) Lets first find volume of water left in sump Volume of water left in the cuboidal sump after filling the tank = Volume of cuboidal sump Volume of cylindrical tank Volume of cuboidal sump Length (l) = 1.57 m Breadth (b) = 1.44 m Height (h) = 95 cm = 95 1/100 m = 0.95 m Volume of sump = Length Breadth Height = lbh = 1.57 1.44 95 = 2.147 m3 Volume of overhead tank Height of overhead tank = h = 95 cm = 95 1/100 m = 0.95 m And, radius = r = 60 cm= 60 1/100 m = 0.6 m Volume of overhead tank = 2 = (0.6)2 (0.95) = 0.342 m3 = 0.342 3.14 = 1.074 m3 Volume of water left in the cuboidal sump after filling the tank = Volume of cuboidal sump Volume of cylindrical tank = 2.147 1.073 = 1.073 m3 Now, Volume of water left in cuboidal sump = 1.073 Length Breadth Height = 1.73 1.57 1.44 h = 1.073 h = 1.073/(1.57 1.44) h = 0.475 m h = 0.475 100 cm h = 47.5 cm So, height of water left in sump = 47.5 cm Also, ( )/( ) = ( )/( ) = 1.073/2.147 = 0.499 = 0.5 (approximately) = 5/10 = 1/2 Hence, capacity of the tank is half the capacity of the sump .

Example 2
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Ex 13.1, 9 Important

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Surface Area and Volume Formulas Important

Class 10

Important Questions for Exam - Class 10

- Chapter 1 Class 10 Real Numbers
- Chapter 2 Class 10 Polynomials
- Chapter 3 Class 10 Pair of Linear Equations in Two Variables
- Chapter 4 Class 10 Quadratic Equations
- Chapter 5 Class 10 Arithmetic Progressions
- Chapter 6 Class 10 Triangles
- Chapter 7 Class 10 Coordinate Geometry
- Chapter 8 Class 10 Introduction to Trignometry
- Chapter 9 Class 10 Some Applications of Trignometry
- Chapter 10 Class 10 Circles
- Chapter 11 Class 10 Constructions
- Chapter 12 Class 10 Areas related to Circles
- Chapter 13 Class 10 Surface Areas and Volumes
- Chapter 14 Class 10 Statistics
- Chapter 15 Class 10 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.