Question

A rectangular paper work 22cm and 10cm wide it is folded without overlapping to make a cylinder of height 10 cm find the volume of the cylinder ​

Answer 1

AnswEr :

⋆ Reference of Image is in the attachment :

As we can see that Breadth of the Rectangular Paper will be Height of Right Circular Cylinder i.e. 10 cm

Length of the Rectangular Paper will be Circumference of the Base of Right Circular Cylinder i.e. 22 cm

$\rule{300}{1}$

• CALCULATION OF RADIUS :

$\longrightarrow\tt Circumference = 2\pi r \\ \\\longrightarrow \tt \cancel{22} = 2 \times \dfrac{ \cancel{22}}{7} \times r \\ \\\longrightarrow \tt 1= 2 \times \dfrac{ 1}{7} \times r \\ \\\longrightarrow \blue{\tt r = \dfrac{7}{2} \:cm}$

$\rule{300}{2}$

• CALCULATION OF VOLUME :

$\implies \tt Volume = \pi {r}^{2} h \\ \\\implies \tt Volume = \dfrac{22}{7} \times \dfrac{7}{2} \times\dfrac{7}{2} \times10 \\ \\\implies \tt Volume = 11 \times 7 \times 5 \\ \\\implies \boxed{\orange{\tt Volume = 385 \:{cm}^{3}}}$

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∴ Volume of the Cylinder is 385 cm³.

#answerwithquality #BAL

Answer 2

Answer:

$\huge\underline\mathfrak{\sf{Answer\::}}$

•Given:-

● Circumference of cylinder=22 cm

● Height of cylinder = 10 cm

•Solution:-

Circumference = 2πr

=> 2πr = 22

=> 2 × 3.1416 × r = 22

=> 6.2832 × r = 22

=> r = 22/6.2832

=> r = 3.5 m

$\rule{300}{2}$

Volume of cylinder = πr^2h

=> Volume = 3.1416 × (3.5)^2 × 10

=> Volume = 3.1416 × 12.25 × 10 m^3

=> Volume = 384.85 m^3

Hope it helps you ♥ ♥ ♥