Question

a solid cubical block of copper, each edge is each 1.5 cm, is melted and recast into a cylindrical rod of a diameter 1.5 cm. find the length of the rod.

Answer 1

Answer:

Step-by-step explanation:

Let the edge of the cube be x units

Volume of the cube = x³ units

Given,

this cube is melted and recast into a cylinder with base radius equal to half of the edge of the cube.

Also,

we know that

Volume of cube = volume of cylinder

Radius of the base = x/2 units

Let the height be h

Volume = πr²h

to find the ratio of height to the base

Radius = x/2

Height = 14x/11

x/2 : 14x/11

after calculation

= 11/28

Thus,

the ratio is 11 : 28