Question

If a solid circular cylinder of iron whose diameter is 15 cm and height 10 cm is melted and reshaped into a sphere, then the radius of the sphere is ​

Answer 1

The radius of the cylinder of iron rod is 8.2 cm

Step-by-step explanation:

Given data:

• Diameter of cylindrical iron rod = 15 cm
• Radius of cylindrical iron rod = d / 2 = 15/2 cm
• Height of cylindrical iron rod  = 10 cm

As we know cylindrical iron rod is like a sphere so the volume is

πr^2h = πr^3

r^2h = r^3

r^3 = 15 /  15 / 2 x 10

r^3 = 562 . 5 cm

r =  8.2 cm

Hence the radius of the cylinder of iron rod is 8.2 cm

Also learn more

A solid metallic rod 15 cm long with diameter 3.5 cm is melted and made into a rod of radius 3.5 cm. What Will be the length of the rod?

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Answer 2

I hope it will help you