Question

A hole of 1.4 cm diameter is made in a cube of edge 3cm . find the volume of remaining solid.​

Answer 1

$\bf\large{\underline{\underline{Question:-}}}$

A hole of 1.4 cm diameter is made in a cube of edge 3cm . find the volume of remaining solid.

$\bf\large{\underline{\underline{Given:-}}}$

• A hole of 1.4 cm diameter is made in a cube of edge 3cm

$\bf\large{\underline{\underline{To\:find:-}}}$

• Volume = ?

$\bf\large{\underline{\underline{Solution:-}}}$

volume of cube = $a^3\\→3^3\\→ 27$

Radius of the hole made in cube,

$\tt→ r=\frac{1}{2}×diameter \\\tt→ r=\frac{1}{2}×1.4\\\tt→ r=0.7cm$

The length (i.e., height) of the cylinder hole,

Volume of the cylinder hole is$\tt→πr^2h$

$\tt→\frac{22}{7}×(0.7)^2×3\\\tt→ 4.62 cm^3$

$\bf\large{\underline{\underline{Hence:-}}}$

• volume of remaining solid is
• $→ \tt (27-4.62)\\\tt →22.38cm^3$