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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

Suppose the pyramid in the above diagram has a square base with side length \(8\text{ cm}.\) If the volume of the pyramid is \(320\text{ cm}^3,\) what is its height in \(\text{cm}?\)

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If \(x=6,\) \(y=10\) and \(z=\sqrt{136},\) what is the volume of the rigid body which can be formed by the above planar figure?

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

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If a regular octahedron is inscribed in a sphere with radius \(r=8,\) as shown above, what is the volume of this regular octahedron?

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What is the volume of the above tetrahedron with six identical edges of length \(5 ?\)

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If \(x=6,\) \(y=16,\) and \(z=11,\) what is the volume of the water contained in the box, given that the water just touches the corner at \( B\). Give your answer in \(\text{cm}^3 ?\)

The above diagram is not drawn to scale.

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