If a sphere of radius 2r has the same volume as That of a cone with circular base of radius r then find the height of the cone.
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13
volume of sphere = volume of cone
4/3 ×22/7×r×r×r=1/3×22/7×r×r×h
4/3×22/7×2r×2r×2r=1/3×22/7×r×r×h
8r cube/ r square= h
8r= h
4/3 ×22/7×r×r×r=1/3×22/7×r×r×h
4/3×22/7×2r×2r×2r=1/3×22/7×r×r×h
8r cube/ r square= h
8r= h
Answered by
14
Answer:
Step-by-step explanation:
Here it is given that V of both sphere and cones are equal.
So..
We can write it as.
=4/3*22/7*(2r)^3=1/3*22/7*(r)^2*h
=4*2*2*2r=h (after cutting on both sides)
32r=h
Hence , h=32r
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