Question

The volume of a cylinder is 24 cm³. If the height doubles, what will be the volume of the cylinder?

Answer 1

Step-by-step explanation:

volume of cylinder. = pi*rsquare*h=24

so pi*rsquare*2h=24*2 = 48

Answer 2

$\huge{ \underbrace{ \text{ Question}}}$

• The volume of a cylinder is 24 cm³. If the height of the cylinder doubles, what will be the volume of the cylinder?

$\huge{ \underbrace{ \text{Answer}}}$

Given:-

$\sf{ \rightarrow{Volume \: of \: a \: cylinder \: is \: 24 {cm}^{3} }}$

To Find:-

$\sf{ \rightarrow{The \: volume \: of \: the \: cylinder \: if \: the \: height \: doubles}}</p><p>$

❣Solution:-

We know that,

Volume of a cylinder :-

$\boxed{ \sf{ \bold{ \blue{V}}} = \pi \: r {}^{2} h}$

Where,

• r stands for radius of the cylinder
• h stands for the height of the cylinder

According to the question,

$\sf{volume \: of \: the \: cylinder \: \pi \: r {}^{2} h = 20cm {}^{3} - - - - - - - - -(1) }$

Now,

If the height doubles, the height will be 2h

Hence,

Area of the cylinder will be :-

$\large { \sf{\pi \: r {}^{2} (2h)}}$

$\large{ \sf{ \rightarrow{2\pi \: r {}^{2} h}}}$

$\large{ \sf{ \rightarrow{2 \times 24}}} \: \: \: \boxed{ \sf{ \blue{From \: equation \: 1}}}$

$\sf{ \large{ \boxed{ \orange{ \rightarrow{48}}}}}$

$\underline{ \boxed{ \rm{ \therefore{Volume \: of \: the \: cylinder \: will \: be \: 48cm {}^{3} }}}}$

❖ Hope this helps you!!