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Answer:
[tex]h = \bf 28.3 \space\ m[/tex]
Step-by-step explanation:
• We are given:
○ Volume = 36 m³,
○ Circumference = 4 m
• Let's find the radius of the cylinder first:
[tex]\mathrm{Circumference} = 2 \pi r[/tex]
Solving for [tex]r[/tex] :
⇒ [tex]4 = 2 \pi r[/tex]
⇒ [tex]r = \frac{4}{2\pi}[/tex]
⇒ [tex]r = \bf \frac{2}{\pi}[/tex]
• Now we can calculate the height using the formula for volume of a cylinder:
[tex]\mathrm{Volume} = \boxed{\pi r^2 h}[/tex]
Solving for [tex]h[/tex] :
⇒ [tex]36 = \pi \cdot (\frac{2}{\pi}) ^2 \cdot h[/tex]
⇒ [tex]h = \frac{36 \pi^2}{4 \pi}[/tex]
⇒ [tex]h = 9 \pi[/tex]
⇒ [tex]h = \bf 28.3 \space\ m[/tex]
Answer:
9π m ≈ 28.27m
Step-by-step explanation:
The volume of a right cylinder is given by the formula
πr²h where r is the radius of the base of the cylinder(which is a circle), h is the height of the cylinder
Circumference of base of cylinder is given by the formula 2πr
Given,
2πr = 4m
r = 2/π m
Volume given as 36 m³
So πr²h = 36
π (2/π)² h = 36
π x 4/π² h = 36
(4/π) h = 36
h = 36π/4 = 9π ≈ 28.27m