Question

three metallic spheres of radii 6cm 8cm and 10cm respectively are melted together to form a single solid sphere find radius of the resulting figure​

Answer 1

Answer:

the answer is 12 cm

Step-by-step explanation:

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Answer 2

$\huge\underline\frak\red{Given}$

Three metallic spheres of radii 6cm 8cm and 10cm respectively are melted together to form a single solid sphere .

$\huge\underline\frak\red{Find\:out}$

Find radius of the resulting figure

$\huge\underline\frak\red{Solution}$

Volume of three metallic sphere

Let the radii of three sphere be x , y and z

According to the given condition

Sum of volume of three metallic sphere

$\implies\sf \frac{4}{3}πx^3+\frac{4}{3}πy^3+\frac{4}{3}πz^3$

$\implies\sf \frac{4}{3}π((6)^3+(8)^3+(10)^3)$

$\implies\sf \frac{4}{3}π(216+512+1000)$

$\implies\sf \frac{4}{3}π×1728cm^3$

The volume of the new metallic sphere will be the same as the sum of volume of three earlier

Again let the new radius of new metallic sphere

$\implies\sf \frac{4}{3}πR^3=\frac{4}{3}π×1728$

$\implies\sf R^3=1728$

$\implies\sf R= 12cm$

$\large{\boxed{\sf{\purple{Required\:radius=12cm}}}}$