A cube with side length P cm P \text{ cm} P cm is inscribed inside a sphere of radius R cm R \text{ cm} R cm such that the sphere touches all the vert...

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A cube with side length $P \text{ cm}$ is inscribed inside a sphere of radius $R \text{ cm}$ such that the sphere touches all the vertices of the cube. A cone has a radius of $\sqrt{3}R \text{ cm}$ and height $H \text{ cm}$ , and its volume is $4950 \text{ cm}^3$ . Find the relation between $P$ and $H$ .

Options

$P^2 = \frac{6600}{H}$

$P^2 = \frac{3300\sqrt{3}}{H}$

$H^2 = \frac{3100\sqrt{3}}{P}$

$P^2 = \frac{3200\sqrt{3}}{H}$

$P^2 = \frac{2100}{H}$

cubesphereconevolumegeometrymensurationrelationradiusheight

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A cube with side length P cm P \text{ cm} P cm is inscribed inside a sphere of radius R cm R \text{ cm} R cm such that the sphere touches all the vert...

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