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What is the volume of a sphere of radius 5? If we make a cylinder two times taller, and its radius three times bigger, how many times larger would it become in volume? See more

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In the above diagram, three identical containers \(A,\) \(B\) and \(C\) contain water reaching heights \(a,\) \(b\) and \(c,\) respectively. If the respective water volumes are \(12\text{ cm}^3,\) \(20\text{ cm}^3\) and \(28\text{ cm}^3,\) what is the ratio \(a:b:c ?\)

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The above diagram is a rectangular solid with width \(x,\) length \(y\) and height \(z.\) If \(xy=10,\) \(yz=20\) and \(zx=8,\) what is the volume of the rectangular solid?

**Note:** The above diagram is not drawn to scale.

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In the above diagram, a small rectangular cuboid is cut off from a larger rectangular cuboid. If \(x=7,\) \(y=4,\) \(z=2\) and \(w=3,\) what is the volume of remaining body?

**Note:** The above diagram is not drawn to scale.

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If \(a=9,\) \(b=14\) and \(c=9\) in the above diagram, what is the volume of the rectangular cuboid?

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