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notka56 [123]
1 year ago
10

Find the height (in meters) of a storage tank in the shape of a right circular cylinder that has a circumference measuring 4 m a

nd a volume measuring 36 m3.
Mathematics
2 answers:
Mrrafil [7]1 year ago
8 0

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



Lesechka [4]1 year ago
3 0

<u>Answer:</u>

h = \bf 28.3 \space\ m

<u>Step-by-step explanation:</u>

• We are given:

○ Volume = 36 m³,

○ Circumference = 4 m

• Let's find the radius of the cylinder first:

\mathrm{Circumference} = 2 \pi r

Solving for r :

⇒ 4 = 2 \pi r

⇒ r = \frac{4}{2\pi}

⇒ r = \bf \frac{2}{\pi}

• Now we can calculate the height using the formula for volume of a cylinder:

\mathrm{Volume} = \boxed{\pi r^2 h}

Solving for h :

⇒ 36 = \pi \cdot (\frac{2}{\pi}) ^2 \cdot h

⇒ h = \frac{36 \pi^2}{4 \pi}

⇒ h = 9 \pi

⇒ h = \bf 28.3 \space\ m

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