Question

13
A rectangular sheet of paper 40 cm x 16 cm is rolled along its length and a cylinder is formed. Find the volume of the cylinder.
(Take: T1 = 3.14)
os: A. 2464 cm
B. 4015 cm
C. 2038 cm
D. 2240 cm

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Answer 1

AnsWer :

C. 2038 cm³.

Given :

• A Rectangle sheet of paper Size ( 40 * 16 ) cm.
• Roll to form A cylinder with length of Rectangle
• Where value of π = 3.14.

To Find :

Volume of Cylinder.

Solution :

When, Rectangle roll to form Cylinder then,

• Length of Rectangle become Circumstances or, ( 2πr )
• Breath become Height of Cylinder.

So,

Length of Rectangle = 40 cm.

$\tt\dashrightarrow 2 \pi r = 40.$

$\tt\dashrightarrow r = \frac{40}{2 \times \pi}$

$\tt\dashrightarrow r = \frac{20}{ \pi}$

Breath of Rectangle = 16 Cm.

$\tt\dashrightarrow h = 16 \: cm$

$\rule{120}1$

$\tt Volume \: of \: Cylinder = \pi {r }^2 h.$

$\tt\dashrightarrow \pi \times { (\frac{ 20}{ \pi})}^{2} \times 16.$

$\tt\dashrightarrow \frac{400}{ \pi} \times 16$

$\tt\dashrightarrow \frac{400}{3.14} \times 16.$

$\tt\dashrightarrow 127.39 \times 16.$

$\tt\dashrightarrow 2038 \: c{m}^{3} .$

Therefore, the volume of Cylinder is 2038 Cm²

Answer 2

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