A solid cone of radius 6 cm and height 21 cm is melted and made into 2 spheres of different sizes.The radius of the first sphere is 4 cm , find the radius of the second sphere.

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A solid cone of radius 6 cm and height 21 cm is melted and made into 2 spheres of different sizes.The radius of the first sphere is 4 cm , find the radius of the second sphere.

Mathematics
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Hey. Lets do this, shall we? :)
Yes !
This problem revolves around surface areas. First we need the surface area of a cone, do you know this formula?

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Other answers:

No :(
It's ok :) Here it is:
\[A = \pi r \space (r \space +\sqrt{h ^{2} \space + r^2} )\] \[\pi \space \times 6(6+\sqrt{21^2+6^2}\] = \[6\pi(6+\sqrt{477}) = 524.78\]
Tis our formula for the cone's surface area where r = radius and h = height if we use an approxmation for the area of the cone we should get about 524.7
Ok!
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