Question

A cylinder is made of a rectangular sheet whose length is 176 cm and breadth is 16 cm by Rolling it along the length find the volume of the cylinder​

Answer 1

$\large\underline{\underline{\sf Given:}}$

• Lenght of sheet (l) = 176cm

• Breadth of sheet (h) = 16cm

$\large\underline{\underline{\sf To\:Find:}}$

• Volume of cylinder (V) = ?

$\large\underline{\underline{\sf Solution:}}$

Circumference = 176

$\large\implies{\sf 2πr=176 }$

$\large\implies{\sf 2×\dfrac{22}{7}×r=176 }$

$\large\implies{\sf r=\dfrac{176×7}{2×22}}$

$\large\implies{\sf r=\dfrac{1232}{44}}$

$\large\implies{\sf r=28cm }$

$\large{\boxed{\sf Volume\:of\: Cylinder (V)=πr^2h}}$

$\large\implies{\sf \dfrac{22}{7}×(28)^2×16}$

$\large\implies{\sf V=39424cm^3 }$

$\Large\underline{\underline{\sf Answer:}}$

•°• Volume of cylinder is 39424cm³.

Answer 2

Answer:

Given:

Lenght of sheet (l) = 176cm

Breadth of sheet (h) = 16cm

\large\underline{\underline{\sf To\:Find:}}ToFind:

Volume of cylinder (V) = ?

\large\underline{\underline{\sf Solution:}}Solution:

Circumference = 176

\large\implies{\sf 2πr=176 }⟹2πr=176

\large\implies{\sf 2×\dfrac{22}{7}×r=176 }⟹2×722×r=176

\large\implies{\sf r=\dfrac{176×7}{2×22}}⟹r=2×22176×7

\large\implies{\sf r=\dfrac{1232}{44}}⟹r=441232

\large\implies{\sf r=28cm }⟹r=28cm

\large{\boxed{\sf Volume\:of\: Cylinder (V)=πr^2h}}VolumeofCylinder(V)=πr2h

\large\implies{\sf \dfrac{22}{7}×(28)^2×16}⟹722×(28)2×16

\large\implies{\sf V=39424cm^3 }⟹V=39424cm3

\Large\underline{\underline{\sf Answer:}}Answer:

•°• Volume of cylinder is 39424cm³.