Question

A cylinder of height 3.5 m and radius 11 m melted and made into a cube. Find
the length of the edge of the cube​

Answer 1

$\underline{\underline{\blue{\textbf{Step - By - Step - Explanation : -}}}}$

To Find :

• Length of edge of cube

Solution :

• Height of cylinder = 3.5 m
• Radius = 11m

$\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccourding} \: to \: \mathscr {Q} \bf{uestion} ....}}}$

Cylinder us melted and changed into cube this means that volume of cylinder is equal to volume of cube.

$\boxed{\underline{\blue{\bf{Volume\: of\: cylinder = πr^{2}h }}}}$

= 22/7 × 11² × 3.5

= 22/7 × 121 × 3.5

= 9317/7

= 1331 m³

$\boxed{\underline{\blue{\bf{Volume\: of\: cube = a^{3} }}}}$

›› a³ = 1331

›› a³ = 11 × 11 × 11

›› a = 11m

$\large\dag \large { \red{\underline{\bf{Hence }}}}$

$\green{\textrm{Length of the edge of the cube is 11m}}$

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