Round your answer to one decimal digit. The volume of a cylinder is 1800cm squared. if the height of the cylinder is 40cm then the diameter of cylinder is

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03-07-2021
Mathematics

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Round your answer to one decimal digit. The volume of a cylinder is 1800cm squared. if the height of the cylinder is 40cm then the diameter of cylinder is

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MathDemonQueenidn MathDemonQueenidn · Answer 1 · 2021-07-03T09:47:14-04:00

[tex]_____________________________________[/tex]

[tex]\sf\huge\underline\red{SOLUTION:}[/tex]

Use formula:

[tex]\sf{V = \pi(\frac{d}{2})^2h}[/tex]

Solving for diameter:

[tex]\sf d = 2 \times \sqrt{ \frac{V}{\pi h} } \\ \sf = 2 \times \sqrt{ \frac{40}{\pi \times 1800} } \approx0.16821 \\ = \sf \large\boxed{\sf{\green{d = 0.17}}}[/tex]

[tex]\sf\huge\underline\red{FINAL \: ANSWER}[/tex]

[tex]\large\boxed{\sf{\green{d=0.17}}}[/tex]

[tex]_____________________________________[/tex]

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