Question

base diameter of a cylinder is 14cm and height is 20cm find its volume
$2\pi$
​

Answer 1

In context to question asked,

we have to determine the volume of the cylinder.

As we know that,

Expression for volume of cylinder will be $\Pi r^2 h$

As per question,

Height of the cylinder = 20 cm

Diameter of cylinder = 14 cm

So, the value of radius of cylinder will be $=\frac{14}{2} = 7\:cm$

So, putting the above values in the formula for finding the volume of cylinder,

We will get,

$Volume = \Pi r^2 h\\=>Volume = \frac{22}{7} \times 7 \times 7 \times 20\\=>Volume = 3080\:cm^3$

Hence, volume of the cylinder will be 3080 cubic cm.

Answer 2

Question

base diameter of a cylinder is 14cm and height is 20cm find its volume

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

Required Answer

• ${\sf{3080cm^2}}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

Given

• Diameter=14cm,
• $\sf{\therefore radius=\dfrac{14}{2}}$=7cm

• Height=20cm

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

To find

• Volume of cylinder=?

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

Formula Using

$\bigstar{\underline{\boxed{\red{\sf{Volume_{(cylinder)}=\pi r^2h}}}}}$

Here

• ${\sf{\pi=\dfrac{22}{7}}}$

• r=radius

• h=height

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

$\qquad\qquad\qquad{\Large{\underline{\underline{\blue{\sf{Solution}}}}}}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

${\large{\underline{\frak{Calculating\:volume\:of\:given\:cylinder}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{Volume_{(cylinder)}=\pi r^2h}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{Volume_{(cylinder)}=\dfrac{22}{7} \times 7\times 7\times 20}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{Volume_{(cylinder)}=\dfrac{22}{7} \times 7 \times 7\times 20}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{Volume_{(cylinder)}=22 \times 7\times 20}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{Volume_{(cylinder)}=154\times 20}}}}$

${\blue{\rightsquigarrow}{\qquad{\underline{\red{\sf{Volume=3080cm^2}}}}}}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

~Therefore

• Volume of given cylinder is ${\bf{3080cm^2}}$

$\begin{gathered} \\ {\underline{\rule{200pt}{6pt}}} \end{gathered}$