If the volume and surface area of a sphere are numerically the same. Find its diameter.
If the volume and surface area of a sphere are numerically the same. Find its diameter.
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Volume of the sphere = \(\Large \frac{4}{3} \pi r^{3}\ cm^{3} \)
Surface area of sphere = \(\Large 4 \pi r^{2}\ cm^{2}\)
The volume of the sphere and the surface area of the sphere are numerically equal (given),
\(\Large \frac{4}{3} \pi r^{3}\ cm^{3} \) = \(\Large 4 \pi r^{2}\ cm^{2}\)
r = 3.
Hence, diameter = 2r = 6cm.
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ATQ,
Volume of sphere = SA of sphere
4/3 πr^3 = 4πr^2
=> r = 3
D = 2r
D = 2x3
D = 6 units
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