Question

A rectangular sheet of paper is rolled along its length to make a cylinder. The sheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to the bottom of the cylinder formed. Find the capacity of cylinder so formed. ​

Answer 1

Step-by-step explanation:

GiveN :-

A rectangular sheet of paper is rolled along its length to make a cylinder. The sheet is 33 cm long and 32 cm wide.

Therefore

• Height of cylinder = 32 cm
• Circumference of cylinder = 33 cm

To FinD :-

Volume of the cylinder.

SolutioN :-

$\longrightarrow \boxed{ \bf \orange{ Circumference = 2\pi r}}$

$\begin{gathered}\longrightarrow \sf 33 = 2 \times \frac{22}{7} \times r \\ \\\longrightarrow \sf r = \frac{33 \times 7}{22 \times 2} \\ \\\longrightarrow \sf r = \frac{231}{44} \\ \\\longrightarrow \sf r = 5.25\end{gathered}$

Now Volume of the cylinder

$\large\longrightarrow \boxed{ \bf \blue{ Volume = {\pi r}^{2}h}}$

$\begin{gathered}\longrightarrow \sf Volume = \frac{22}{7} \times 5.25 \times 5.25 \times 32 \\ \\ \longrightarrow \sf Volume = \frac{19404}{7} \\ \\\longrightarrow \boxed{ \sf \green{ Volume = 2772 \: {cm}^{3}}}\end{gathered}$

Answer 2

Answer:

2772 $cm^{2}$

Step-by-step explanation:

We need to Find radius first :-

R = 33

33 = 2 x π x r

33 = 2 x 22 / 7 x r

33 * 7/ 44 = r

r = 5.25

Volume = π$r^{2}$ h

= 22 / 7 x 5.25 x 32

= 27 / 7 x 27.5625 x 32

= 19404 / 7

= 2772 $cm^{2}$