Question

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

Answer 1

Answer:

volume = 3150 cm^2

Step-by-step explanation:

circumference of base of cylinder = 30cm

2πr = 30

r = 15/π , 44cm

volume of cylinder = πr^2h

$volume = \pi \: r^{2} h \\ volume = \pi { \frac{15}{\pi {}^{2} } }^{2}44 \\ volume = 225 \times 44 \times \frac{7}{22} \\ volume = 225 \times 2 \times 7 \\ volume = 3150 \: {cm}^{2}$

Answer 2

• Given

• Length of a rectangular aluminium foil = 44 cm
• Breadth of a rectangular aluminium foil = 30 cm
• A cylinder is made by rolling the rectangular aluminium foil.

• To find

• Volume of the cylinder

• Solution

As a cylinder is made by using the rectangular aluminium foil, length and the breadth remains the same.

Using formula,

Circumference = 2πr

where,

• r = radius
• Take π = 22/7

⟶ 44 = 2πr

⟶ 44 = 2 × 22/7 × r

⟶ 44 = 44/7 × r

⟶ r = 7

Radius = 7 cm

Using formula,

Volume of cylinder = πr²h

where,

• Take π = 22/7
• r = radius
• h = height

Substituting their values,

⟶ 22/7 × 7 × 7 × 20

⟶ 3080 cm³

Therefore, Volume of the cylinder = 3080 cm³