Question

Find the length of the wire of diameter 2/5 cm that can be drawn from a solid sphere of radius 9 cm

Answer 1

HOPE THE HELPS....

*CLICK ON THE RED HEART IF YOU LIKE THE ANSWER*

Answer 2

The length of wire is 24300 cm

Step-by-step explanation:

Wire is in the shape of cylinder

Diameter of wire =$\frac{2}{5} cm$

Radius of wire = $\frac{2}{5 \times 2}=\frac{1}{5}$

Volume of wire =$\pi r^2 h = \pi (\frac{1}{5})^2 \times h$

Radius of sphere = 9 cm

Volume of sphere = $\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (9)^3$

Volume of wire = Volume of sphere

$\pi (\frac{1}{5})^2 \times h =\frac{4}{3} \pi (9)^3 \\ (\frac{1}{5})^2 \times h = \frac{4}{3} (9)^3 \\h = \frac{ \frac{4}{3} (9)^3}{ (\frac{1}{5})^2}$

h =24300

Hence The length of wire is 24300 cm

#Learn more:

Find the length of wire of diameter 0.2 cm that can be drawn from a solid sphere of radius 9 cm​

https://brainly.in/question/15945795