Question

A cube of edge 8cm melted and made a cylindrical wire whose diameter is 14cm. Then find the height of the cylindrical wire. ​

Answer 1

Answer : Height = 3.32cm

Explanation :

Given :

Edge of the cube = 8cm

Diameter of the cylindrical wire = 14cm

Radius of the cylindrical wire = 14/2 = 7cm

Volume of Cube = Volume of Cylinder

a³ = πr²h

(8)³ = π × 7² × h

512 = 22/7 × 7 × 7 × h

512 = 22 × 7 × h

512 = 154 × h

h = 512/154

h = 3.32 cm

Therefore, the height of cylindrical wire is 3.32cm

Answer 2

Answer

Note

H=hight

D=Diameter

R=Radius

πr² =pie r square

$8 cm \: is \: the \: edge \: of \: the \: cube \\ </p><p>Diameter = 14cm \\ </p><p>Radius = 14/2 = 7cm$

$Use \: formula$

(a³ = πr²h )

(8³ = π × 7² × h )

(512 = 22/7 × 7 × 7 × h)

(512 = 22 × 7 × h )

(512 = 154 × h )

(hight (h) = 512/154)

(hight (h) = 3.32 cm)