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A Cylindrical Tube, Open at Both Ends, is Made of Metal. the Internal Diameter of the Tube is 10.4 Cm and Its Length is 25 Cm. the Thickness of the Metal is 8 Mm Everywhere. - Mathematics

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Question

A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere. Calculate the volume of the metal

Sum

Solution

Here, r = Inner radius = 5.2 cm
         R = Outer radius
         t = Thickness = 0.8 cm
        h = Length = 25 cm

R = r + t = 5.2 cm + 0.8 cm = 6 cm
Volume of the metal = π h (R2 - r2)
                          = 22 x  (25) x ((6 )2 - (5.2 )2)
                             7
                          = 704 cm3
Thus, the volume of the metal is 704 cm3.

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Chapter 22: Mensuration - III (Surface Area and Volume of a Right Circular Cylinder) - Exercise 22.2 [Page 26]

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RD Sharma Mathematics [English] Class 8
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.2 | Q 31 | Page 26

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