Question

A garden roller of diameter 1 m is 2.1 m long. Find the area it covers in 100
revolutions.​​

Answer 1

Answer:

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Step-by-step explanation:

Given :-

Diameter of the garden roller = 1 m

Length of the garden roller = 2.1 m

To Find :-

The area covered in 100 revolution.

Analysis :-

Firstly, find the curved surface area of the roller of height given.

Multiply the number we got by 100 in order to find the area covered in 100 revolution.

Solution :-

We know that,

r = Radius

d = Diameter

h = Height

Using the formula,

$\underline{\boxed{\sf Surface \ area \ of \ a \ cylinder=2 \pi rh}}$

Given that,

Radius (r) = d/2 = 1/2 = 0.5 m

Height (h) = 2.1 m

Substituting their values,

⇒ 2 × (22/7) × 1/2 × 2.1

⇒ 66/10

⇒ 6.6 m²

According to the question,

Area covered in 100 revolution = 100 × Curved surface area

Substituting their values,

⇒ 100 × 6.6

⇒ 660 m²

Therefore, the area it covers in 100  revolutions is 660 m².

Answer 2

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Given :-

Diameter of the garden roller = 1 m

Length of the garden roller = 2.1 m

To Find :-

The area covered in 100 revolution.

Analysis :-

Firstly, find the curved surface area of the roller of height given.

Multiply the number we got by 100 in order to find the area covered in 100 revolution.

Solution :-

We know that,

r = Radius

d = Diameter

h = Height

Using the formula,

$\underline{\boxed{\sf Surface \ area \ of \ a \ cylinder=2 \pi rh}}$

Given that,

Radius (r) = d/2 = 1/2 = 0.5 m

Height (h) = 2.1 m

Substituting their values,

⇒ 2 × (22/7) × 1/2 × 2.1

⇒ 66/10

⇒ 6.6 m²

According to the question,

Area covered in 100 revolution = 100 × Curved surface area

Substituting their values,

⇒ 100 × 6.6

⇒ 660 m²

Therefore, the area it covers in 100  revolutions is 660 m²