Question

A rectangular sheet of paper 44 cm long and 33 cm broad is rolled into two different ways to form two different cylinders. Find the volume of cylinder in each case.

Answer 1

$\bf\huge\boxed{\boxed{\boxed{Cybary\:Radhe\:Radhe}}}$

$\bf\huge\boxed{\boxed{\boxed{Length\:of\:Rectangular\:sheet}}}$ = 33 cm

Width of the rectangular sheet = 32

Length of the rectangular sheet  = Circumference of the circle

Circumference of the circle = 2πr

⇒ 33 cm = 2 × $\bf\huge\frac{22}{7}$ × r

⇒ r = $\bf\huge\frac{33 * 7}{22 * 2}$

⇒ r = $\bf\huge\frac{231}{44}$

r = 5.25 cm

$\bf\huge\boxed{\boxed{\boxed{Capacity\:of\:Cylinder\:}}}$ = πr²h

⇒ $\bf\huge\frac{22}{7}$× 5.25 × 5.25 × 32

⇒ $\bf\huge\frac{22}{7}$×27.5625 × 32

⇒ $\bf\huge\frac{19404}{7}$

= 2772 cm³

$\bf\huge\boxed{\boxed{\boxed{Volume\:of\:Cylinder\:=\:2772cm}}}$

$\bf\huge\boxed{\boxed{\boxed{Radhe\:Radhe}}}$

$\bf\huge\boxed{\boxed{\boxed{Together\:we\:go\:far}}}$