Question

A rectangular paper of width 28 cm is rolled along its width to form a cylinder of radius
30 cm. Find the volume of the cylinder.
​

Answer 1

Answer:

79,200 cm³

Step-by-step explanation:

Formula: πr²h

= π(3.14) x 30² cm x 28 cm

= π(3.140 x 900 cm² x 28 cm

= (22 x 4) x 900 cm²

= 88 cm x 900 cm²

= 79,200 cm³

hope it helpss ^_^

Answer 2

Given :-

• A rectangular paper of width 28 cm is rolled along its width to form a cylinder of radius 30 cm.

To Find :-

• The volume of the cylinder.

Solution :-

As a rectangular paper of width 28cm is rolled along its width to form a cylinder of 30cm. From this data , we can see that the height of the Cylinder is 28cm and radius of Cylinder is 30cm. Now, we can apply the Formula of Volume of Cylinder to find the Volume.

★ Volume of Cylinder ★

${:} \longrightarrow \sf{\sf{Volume \: of \: Cylinder\: = \:\pi \:\times \: (Radius)^{2} \:\times \: Height }}$

${:} \longrightarrow \sf{\sf{Volume \: of \: Cylinder\: = \: \dfrac{22}{7} \: \times \: (30)^{2} \: \times \: 28 }}$

${:} \longrightarrow \sf{\sf{Volume \: of \: Cylinder\: = \: \dfrac{22}{ \cancel7} \: \times \: 30 \: \times \: 30 \: \times \: \cancel{28} }}$

${:} \longrightarrow \sf{\sf{Volume \: of \: Cylinder\: = \:22 \: \times \: 30 \: \times \: 30 \: \times \: 4 }}$

${:} \longrightarrow \sf{\sf{Volume \: of \: Cylinder\: = \:900 \: \times \:88 \: }}$

${:} \longrightarrow \sf{\bf{Volume \: of \: Cylinder\: = \: 79200\:cm^{3} }}$

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$\begin{gathered}\begin{gathered} \therefore\: \sf{ Volume \: of \: Cylinder \: = \underline {\underline{79200\:cm^{3} }}}\\\end{gathered}\end{gathered}$

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Formulas Related to Cylinder :-

• Volume of Cylinder = πr²h
• Area of Base and Top = πr²
• Curved surface area = 2πrh
• Total Surface Area = 2πr (h+r)

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