Question

A solid cube of edge 2.2 cm is melt and recasted into cylinder of radius 1mm . find the height of the cylinder​

Answer 1

Answer:

Height of the cylinder will be 338.8 cm

Step-by-step explanation:

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Answer 2

333.8 cm

Step-by-step explanation:

Data given:

sides of the cude (a) = 2.2 cm

radius of the cylinder (r) = 1mm = 0.1 cm

To find:

height of the cylinder (h) = ?

Concept:

Volume remains constant ( During recasting the volume of the two solid is same)

Formula used:

volume of a cube with side(edge) "a" =

${a}^{3}$

volume of a cylinder with radius "r" and " h" =

$\pi \times {r}^{2} \times h$

Calculation:

As the volume of both the solid is equal.

We have:

${a}^{3} = pi \times {r}^{2} \times h$

from this "h" =

$( {a}^{3} ) \div (pi \times {r}^{2} )$

putting the values:

$( {2.2}^{3} ) \div (pi \times {0.1}^{2} )$

we got:

h = 333.8cm