Question

▪︎Moderators
___________________________
A rectangular aluminium foil is 44 cm long and 30 wide. A cylinder is made by rolling it. Find its volume.

No spam
Need Quality Answers

Answer 1

Answer:

★ Given :

• A rectangular aluminium foil is 44 cm long and 30 wide.
• A cylinder is made by rolling it.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

★ To Find :

• Find its volume.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

★ Solution :

⇝✏When we roll a sheet, the width of the sheet will become tge height of the cylinder and its length will become the circumference of the cylinder.

⇝✏Thus height,

$\sf\purple{→h = 30 \: cm \: and \: 2 \pi \: r \: = 44 \: cm \: }$

$\sf\purple{:⟹r = \frac{44}{2\pi} = \frac{44 \times 7}{2 \times 22} = 7cm }$

$\large{\underline{\underline{\pmb{\sf{\color{purple}{★Volume \: of \: cylinder}}}}}}$

$\sf\purple{→\pi \: {r}^{2} \: h = \frac{22}{7} \times 7 \times 7 \times 30}$

$\frak\purple{:⟹4620 \: {cm}^{3} }$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

✏∴Its volume = 4620 cm³