Question

a curved surface area of a cylindrical vessel is 264 sq m. find the volume of the vessel if it's height is 6 m​

Answer 1

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{Question \;\;:}}}}}\\ \\\end{gathered}$

A curved surface area of cylindrical vessel is 264sq m.

Find the volume of the vessel if its height is 6m.

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{Required\;Answer\;:}}}}}\\ \\\end{gathered}$

Given that :

Curved surface area of cylindrical vessel is = 264 sq m.

Height = 6m

To find :

Volume of the vessel.?

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{detailed\;explanation \: \;:}}}}}\\ \\\end{gathered}$

In this question it is given that the curved surface area of the vessel is 264 sq m

Height is = 6m

In this question we need to find only the volume of the vessel.

So it's simple just put the correct formula with correct values.

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\purple{curved \: surface \: area \: of \: cyliner \: = 2\pi\ rh\;}}}}}\\ \\\end{gathered}$

$264 = 2 \times \frac{22}{7} \times r \times 6$

By taking division of 7 into multiplication we get

$7 \times 6 = 42$

Now , for finding the radius we need to divide 42 by 7 of course.

$\frac{42}{7} = 7$

Hence , radius = 7cm.

Now for finding the volume of the cylinder.

By putting formula :

$\begin{gathered}\qquad\qquad{\underline{\underline{\frak{\pink{volume \: of \: vessel(cylinder)\: = \pi \: r {}^{2}h \;}}}}}\\ \\\end{gathered}$

Let's consider volume of vessel as x

$x = \frac{22}{7} \times 7 \times 7 \times 7$

$x = 22 \times 7 \times 7$

$x = 1078$

Therefore the volume of vessel = 1078 sqcm