Question

A rectangular sheet is 88 X 10 is rolled along its length and form a cylinder . Find the volume of the cylinder.

Answer 1

Answer:

$\purple{\sf \: Volume \: of \: cylinder \: is \: 6,610 cm³}$

Step-by-step explanation:

$\boxed{ \sf \: height \: of \: cylinder \: = \: 10cm}$

$\boxed{ \green{ \sf \: Circumference \: of \: base \: = Length \: of \: the \: sheet}}$

$\sf \implies88 \: cm$

$\sf \: 2\pi{r} \: = 88$

$\sf \: 2 \times \frac{22}{7} \times r \: = 88$

$\implies \boxed {\underline{ \sf \: r = \: 14 \: cm}}$

$\sf \: To \: find \: the \: volume \: of \: the \: cylinder \: V , we \: know \: that -$

$\implies\red{ \sf \: V = \pi{r}^{2} }$

$\implies \: \frac{22}{7} \times 14 \times 14 \times 10$

$\implies \large \boxed {\blue{ \sf6160 \: cm ^{3} }}$

$\sf \: Volume \: of \: cylinder \: is \: 6,610 cm³$

Answer 2

Answer:

hope it helps you dear..

Step-by-step explanation:

Height of cylinder = Width of sheet =BC=22 cm

Circumference of top = 2πr = Length of sheet =AB=36 cm

⇒r= 2π/36

Now, volume = πr2

h=π×( 2π/36 )

2 ×22= 4×22

36×36×7×22

=2268cm ^3

Hence, the volume of the cylinder is 2,268cm^3