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Mathsssss problem :'(((( help me plzzzzzzzźžż?

1) find the sum upto n terms of the series 0.7+0.97+0.997+.........

2)a solid metallic cylinder of diameter 4cm and height 45 cm is melted and recast into identical spherical shots of radius 3cm each. Find the number of spherical shots..

2 Answers

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  • 9 years ago
    Favorite Answer

    1) let

    X= 0.7 + 0.97 + 0.997 +....

    X= 1-0.3 + 1-0.03 + 1-0.003 +...

    X= n - (0.3 + 0.03 + 0.003 +.... )

    apply sum of a geometric progression on bracket part and you ll have your answer :)

    2) let n be the number of spherical shots formed.

    as volume remains constant,

    pi * 2^2 * 45 = n 4/3 * pi * 3^3

    solve n :)

  • 9 years ago

    2) 20 spherical balls

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