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Mathematics

The weight of a metallic right circular cylinder with base radius 10.5 cm and height 60 cm, it being given that 1 cm3 of metal weighs 5 gm, is :

  1. 48.75 kg

  2. 97.65 kg

  3. 102.45 kg

  4. 103.95 kg

Mensuration

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Answer

Radius of cylinder, r = 10.5 cm

Height of cylinder, h = 60 cm

Volume of cylinder = πr2h

=227×10.52×60=227×110.25×60=1455307=20790 cm3= \dfrac{22}{7} \times 10.5^2 \times 60 \\[1em] = \dfrac{22}{7} \times 110.25 \times 60 \\[1em] = \dfrac{145530}{7} \\[1em] = 20790 \text{ cm}^3

Given, 1 cm3 of metal weighs 5 gm.

Toatl weight = 5 × 20790 = 103950 g = 103950 × 11000\dfrac{1}{1000} = 103.95 kg.

Hence, option 4 is the correct option.

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