Math, asked by rajannanya160, 9 months ago

a cylinderis 0.7m high,and the circumfrence of is base is 154m .find its volume

Answers

Answered by shreeyashraj140
3

Answer:

please mark as brainlist

Step-by-step explanation:

2πr = 154

πr == 77

r = 77 * 7/22

r = 49/2

Vol = 22/7 * 49/4 * 49/4 * 7/10

= 11  * 49 * 49/80 = 330.1375 m

Answered by varadad25
12

Answer:

The volume of the cylinder is 1320.55 m³.

Step-by-step-explanation:

We have given the dimensions of a cylinder.

  • Height ( h ) = 0.7 m
  • Circumference ( c ) = 154 m

We know that,

Circumference = 2 π r

⇒ 154 = 2 * 22 / 7 * r

⇒ r = ( 154 × 7 ) / ( 2 × 22 )

⇒ r = 154 ÷ 22 * 7 ÷ 2

⇒ r = 7 * 7 ÷ 2

⇒ r = 49 / 2

r = 24.5 m

Now, we know that,

Volume of cylinder = π r² h

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 22 / 7 × ( 24.5 )² × 0.7

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 22 / 7 × 24.5 × 24.5 × 7 / 10

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 22 × 24.5 × 24.5 × 7 ÷ 7 / 10

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 22 × 24.5 × 24.5 × 1 / 10

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 22 × 24.5 × 24.5 ÷ 10

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 22 × 24.5 × 2.45

⇒ Vᶜʸˡⁱⁿᵈᵉʳ = 539 × 2.45

Vᶜʸˡⁱⁿᵈᵉʳ = 1320.55 m³

∴ The volume of the cylinder is 1320.55 m³.

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