Question

A rectangular paper sheet of dimensions 12 cm by 6 cm is rolling along its length and form a cylinder . find the volume of the cylinder.​

Answer 1

Answer:

68.72 cm³

Step-by-step explanation:

Height of cylinder = 6 cm

circumference of the base = length of the sheet

=12cm

then 2×22/7×r = 12

so,r = 12×7/22×2

=21/11

according to the question

volume of the cylinder

= π r² h

= 22/7×22/11×22/11×6

= 68.72 cm ³

Answer 2

Analysis

First of all we have to find the radius of the cylinder which can be derived from the given quantities. From that, using the formula to measure the volume of a cylinder, we can find the answer.

Solution:

Breadth of the sheet = 6 cm [Height of the cylinder]

Length of the sheet = 12 cm [Circumference of the base of the cylinder]

Circumference = 2πr

$2\times\dfrac{22}{7}\timesr$ = 12 cm

Radius = $12\times\dfrac{7}{22\times2}$

Radius = $\dfrac{21}{11}cm$

Volume of a cylinder = πr²h

= $\dfrac{22}{7}\times\dfrac{21}{11}\times\dfrac{21}{11}\times6$

= $\dfrac{756}{11}$

= 68.72 cm³

∴ The volume of the cylinder is 68.72 cm³

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