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