Question

a solid cone of radius 5 cm and height 8 cm is melted and made into small sphere of radius 0.5 cm find the number of the sphere formed

Answer 1

Check this attachment :-)

Answer 2

$\underline { \blue { Dimensions \:of \:a \:cone :}}$

$radius (R) = 5\:cm \\Height (h) = 8 \:cm$

$Radius \: of \: each\:small \: sphere (r) = 0.5 \:cm$

/* According to the problem given */

If solid cone is melted and made into small spheres*/

$Let \: the \: number \: spheres \: formed = n$

$n = \pink{\frac{ Volume_{(cone)} }{ Volume_{(each \: sphere)}}}$

$= \frac{ \frac{1}{3} \pi R^{2} h }{\frac{4}{3} \pi r^{3}} \\= \frac{R^{2} h }{ 4 r^{3}} \\= \frac{ 5 \times 5 \times 8}{ 4 \times 0.5 \times 0.5 \times 0.5 } \\= 400$

Therefore.,

$\red{ Number \: spheres \: formed}\green {= 400}$

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