Question

angular piece of paper 11 cm into 4 cm is folded without overlapping to make a cylinder of height 4 cm find the volume of cylinder​

Answer 1

Answer:

A rectangular sheet is of 11 cm × 4 cm dimensions.

After rolling if breadth that is 4 cm becomes height, means sheet is rolled along its breadth.

So, Circumference is 11 cm

11 cm =  2 × 22/7 × r

11 cm × 7/44 = radius

77 /44 cm =( r)

Volume =  22/7 × 77/44 cm × 77/ 44 cm × 4 cm

=  (1 × 11 × 77/44 × 2) cm^3

=  (1 × 1 × 77/ 2 ) cm^3

=  38.5 cm^3

Answer 2

$<b>$Let the radius of the cylinder = r


The height of cylinder = h


circumference of base of cylinder =2πr


$\sf\:2\:×\dfrac{22}{7}\: × \:r\:=11$


r = $\sf\dfrac{7}{4}$


h = 4 cm


volume of the cylinder (V) = πr²h


$\sf\dfrac{22}{7}×\dfrac{7}{4}×\dfrac{7}{4} × 4$


V = 38.5 cm³