Question

plz help me to solve this my exams r near ..i want help guys plz

Answer 1

$\red{HEY\:BUDDY!!}$

HERE'S THE ANSWER..

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♠️ Here rod is cylinder , with dimensions

⏺️ Radius ( r ) = ?

⏺️ Length ( l ) = 140 cm

♠️ A sphere is made from the rod , so the volume of sphere will be equal to volume of rod

⏺️ So volume of rod will be 3388 cm^3

▶️ We know

=> $\texttt{ Volume\:= \: pie r^{2} h }$

=> $\texttt{ 3388\:= \:(22/7)(140)r^{2} }$

=> $\texttt{ 3388\:= \:(22)(20)r^{2} }$

=> $\texttt{ 3388\:= \:( 440)r^{2} }$

=> $\texttt{ 3388/440\:= \:r^{2} }$

=> $\texttt{ 7.7\:= \:r^{2} }$

=> $\texttt{\sqrt {7.7}\:= \:r }$

=> $\boxed{r\:= \:2.77\: cm}$

♠️ Radius of rod is 2.77 cm

HOPE HELPED..

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PEACE✌️☺️

Answer 2

Length of metal rod = 140 cm (Height of the cylindrical rod)

Let the radius of the cylindrical rod be r

We know that when we transform a solid into another solid volume remains same. Here Cylindrical rod is made by sphere, in which case

Volume of Cylindrical Rod = Volume of Sphere

Here Volume of the Sphere given 3388 cm³

∴ $\pi r^2 h = 3388 cm^3$

(22/7) × r² × 140 cm = 3388

r² = 7.7

r = 2.7 cm approx

Hence radius of the solid metal rod is 2.7 cm approx