Question

What is the radius of the circular plate of thickness 1cm made by melting a sphere of radius 3cm?

Answer 1

There fore the radius is 6 cm.
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Answer 2

Answer:

6 cm.

Step-by-step explanation:

Plate is in the shape of cylinder

Height = 1 cm

radius of sphere = 3 cm

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

                              = $\frac{4}{3} \times 3.14 \times 3^3$

                              = $113.04$

Volume of plate = $\pi r^2 h$

                           = $3.14 \times r^2 \times 1$

                           = $3.14 \times r^2$                            

Since we are given that the plate is made up by recasting the sphere

So, volume will remain same .

So,$3.14 \times r^2=113.04$      

$r^2=\frac{113.04}{3.14}$                      

$r^2=36$

$r=6$            

Thus the radius of circular plate is 6 cm.