Question

A rectangular sheet made of aluminum has dimensions 2.2m × 1.76m. Find the volume of
the cylinder formed when the aluminum sheet is rolled along the length.

Answer 1

3.872 find the area of this cylinder fire pi by producing the former volume of rectangle

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

L = 2.2 m and B = 1.76 m

Assume

Radius = 'r'

$\textbf{\underline{B\;of\;rectangular\;is\;equal\;to\;H\;of\;Cylinder}}$

= 1.76 m

$\textbf{\underline{L\;of\;rectangular\;is\;equal\;to\;C\;of\;Cylinder}}$

= 2.2 m

$\textbf{\underline{Circumference\;of\;Circle}}$

= 2πr

$\tt{\rightarrow 2.2=2\times\dfrac{22}{7}\times r}$

44r = 2.2 × 7

$\tt{\rightarrow r=\dfrac{2.2\times 7}{44}}$

$\tt{\rightarrow\dfrac{22\times 7}{440}}$

$\tt{\rightarrow\dfrac{7}{20}}$

= 0.35 m

${\boxed{\sf\:{Volume\;of\;Cylinder=\pi r^2h}}}$

$\tt{\rightarrow v=\dfrac{22}{7}\times 0.35\times 0.35\times 1.76}$

v = 22 × .05 × 0.35 × 1.76

v = 0.6776 m³

v = 0.6776 × 1000000 cm³

v = 677600 cm³

$\Large{\boxed{\sf\:{Volume\;of\;Cylinder=677600\;cm^3}}}$