Question

the diameter of solid sphere is 6cm. it is melted & recast into a solid cylinder of height 4 cm. find the radius of cylinder?

Answer 1

Radius of cylinder is 3cm.
I hope it will help you.

Answer 2

The radius of the cylinder is 3 cm.

Step-by-step explanation:

Given : The diameter of solid sphere is 6 cm. It is melted & recast into a solid cylinder of height 4 cm.

To find : The radius of cylinder?

Solution :

Diameter of Sphere = 6 cm

Radius of sphere = $\frac{6}{2}=3$ cm

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

Cylinder with height h=4 cm

Let radius of cylinder be 'R'.

Volume of the cylinder is $V_c=\pi R^2 h$

It is melted & recast into a solid cylinder so

Volume of sphere = Volume of cylinder

$\frac{4}{3} \pi r^3=\pi R^2 h$

$\frac{4}{3}\times (3)^3=R^2\times 4$

$R^2=9$

$R=3$

Therefore, the radius of the cylinder is 3 cm.

#Learn more

A solid iron cylinder of radius 4cm and height 18cm is melted and recast into a sphere. What is the radius of the sphere?

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