a cone is 8.4 cm height and the radius of its base is 2.1 cm is melted and recast into a sphere find the radius of a sphere
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4
i think that this is the answer.
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anubhav22:
volume of sphere = 4/3*22/7*r3
rong answer
vol ofsphere =4/3 not 1/4
oh i am really very srry
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Answered by
6
let the radius of sphere = R cm
height of cone =8.4(h)
radius of cone = 2.1(r)
ATP,
the area of cone = area of sphere
![1/3 \pi r^{2} h = 4/3 \pi R[tex] <br />r^{2} h = 4R^{3}](https://tex.z-dn.net/?f=1%2F3+%5Cpi+r%5E%7B2%7D+h+%3D+4%2F3+%5Cpi+R%5Btex%5D+%3Cbr+%2F%3Er%5E%7B2%7D+h+%3D+4R%5E%7B3%7D "1/3 \pi r^{2} h = 4/3 \pi R[tex] <br />r^{2} h = 4R^{3}")
[/tex]
2.1*2.1*2.1=R^{3}
R=2.1
height of cone =8.4(h)
radius of cone = 2.1(r)
ATP,
the area of cone = area of sphere
2.1*2.1*2.1=R^{3}
R=2.1
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