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3 years ago

The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder.

1 answer:

7 0

<em>Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.</em>

Answer:

The radius of the cylinder:

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

Step-by-step explanation:

The volume of a cylinder is represented by the formula

V=πr²h

here

r is the radius

h is the height

The radius of the cylinder can be computed using the formula of the volume of a cylinder

V = πr²h

r² = V / πh

Taking square roots

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

Thus, the formula of the radius of the cylinder.

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

Therefore, the radius of the cylinder:

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

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It would take Henry 3 hours to clean the office carpets if Mary were not there to help

Step-by-step explanation:

Assume that it takes Henry t hours to clean the carpets

∵ Henry takes 3 hours less than Mary to clean the carpets

∵ Henry takes t hours

- That means add 3 to t to find Mary time

∴ Mary takes t + 3 hours

∵ The rate of Henry is $\frac{1}{t}$

∵ The rate of Mary is $\frac{1}{t+3}$

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- Add the two rates and equate the answer by $\frac{1}{2}$ (their rate together)

∴ $\frac{1}{t}+\frac{1}{t+3}=\frac{1}{2}$

Multiply the two denominators and multiply each numerator by the other denominator to add the two fractions of the left hand side

∵ $\frac{(1)(t+3)}{t(t+3)}+\frac{(1)t}{t(t+3)}=\frac{1}{2}$

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- Add the two fractions in the left hand side

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3 years ago

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3 years ago

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<h3><u>Explanation</u> :-</h3>

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$\qquad$ ____________________

It’s given–

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$\bf{\underline{\underline{\dag According\ to\ the\ question:-}}}$

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