If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use π=22/7)

When a solid is melted and recast into another shape, its volume remains the same.
Volume of Cylinder=Volume of Cone
The formula for the volume of a cylinder is πr
2
h
1
​
and for a cone is
3
1
​
πr
2
h
2
​
.
Given that they have the same radius r:

πr
2
h
1
​
=
3
1
​
πr
2
h
2
​

We can cancel πr
2
from both sides:

h
1
​
=
3
1
​
h
2
​

h
2
​
=3×h
1
​

Given that the height of the cylinder h
1
​
=4.8 cm:

h
2
​
=3×4.8=14.4 cm
Thus, the height of the cone will be 14.4 cm.