Question

a rectangular sheet of dimensions 22 cm into 6 cm is rolled about its shorter side find the volume of the solid does generated​

Answer 1

$\huge{ \boxed{ \green{ \mathtt{231 \: cu.cm}}}}$

ᏕᎾᏝᏬᎿᎨᎾᏁ ❣

Here given,

Dimension of rectangular sheet = 22 x 6 cm

Here,

Circumference of the cylinder= 22cm

And the height of the cylinder = 6 cm

As Circumference = 2 π r where r is radius of the base

$\sf{=> 2 \pi r = 22 cm}$

$\sf{=> 2 \times \frac{22}{7} \times r = 22 cm }$

$\sf{=> \frac{44r}{7} = 22 }$

$\sf{=> r = \frac{22 \times 7}{44} = \frac{7}{2} cm }$

Now we have radius of base of cylinder r = (7/2) and height if cylinder = 6 cm

$\sf{ \blue{volume \: of \: a \: cylinder = \pi \: r {}^{2} h}}$

$\sf{ = \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 6}$

$\sf{ = \frac{6468}{28} }$

$\sf{ \orange{ = 231 \: cubic \: centimeters}}$

Hence Volume of solid generated that is cylinder is 231 cubic centimeter.

$\mathcal{ \red{❣Hope \: this \: helps \: you! }}$