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Math Help - Cylinder Question-Complicated

  1. #1
    hex
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    Red face Cylinder Question-Complicated

    A Cylinder has base of radius 7cm ...height 15cm.....it is a regular cylinder....

    1.water is filled upto height of 10cm of this cylinder , find the volume of water...

    Answer : v= 22/7 x 7 x 7 x 10
    : volume of water=1540ml.

    2.When 18 small spheres are put into this cylinder the water level rises up as "h"cm....Prove That h = 24a3(3=Cube) / 49

    Answer : ?

    please help me find the answer for the 2nd question guys ...thanks .
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by hex View Post
    A Cylinder has base of radius 7cm ...height 15cm.....it is a regular cylinder....

    1.water is filled upto height of 10cm of this cylinder , find the volume of water...

    Answer : v= 22/7 x 7 x 7 x 10
    : volume of water=1540ml.

    2.When 18 small spheres are put into this cylinder the water level rises up as "h"cm....Prove That h = 24a3(3=Cube) / 49

    Answer : ?

    please help me find the answer for the 2nd question guys ...thanks .
    first the sphere's must be identitical or this doesn't work...

    The Volutme of a sphere is V=\frac{4}{3}\pi r^3 \mbox{ cm}^3 where r is the radius.

    So the Volume of 18 is 24\pi r^3 \mbox{ cm}^3

    The volume of a right circlular cylindar is V=\pi r^2 h and we know that r in the cylindar is 7 cm so we get

    24\pi r^3 \mbox{ cm}^3=49 \pi h \mbox{ cm}^2

    Now we solve for h to get

     h=\frac{24\pi r^3 \mbox{ cm}^3}{49 \pi \mbox{ cm}^2}=\frac{24 r^3}{49} \mbox{ cm}
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