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aleksandrvk [35]

2 years ago

10

The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius? Enter your answer in

the box.

2 answers:

Arada [10]2 years ago

8 0

Answer:

$\boxed{r=3cm}$

Step-by-step explanation:

The volume of a cylinder is given by the formula;

$V=\pi \time r^2 h$

It was given that the volume of the cylinder, $V=108\pi$ , and its height, $h=12cm$

We substitute the given values into the formula to obtain;

$108\pi=\pi\times r^2\times 12$

We divide through by $12\pi$ to obtain;

$\frac{108\pi}{12\pi}=r^2$

$\Rightarrow 9=r^2$

We take the positive square root of both sides to obtain;

$\Rightarrow \sqrt{9}=r$

$3=r$

$r=3cm$

Therefore the length of the cylinder's radius is 3cm.

AlekseyPX2 years ago

4 0

Answer:

the radius is 3 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi *r^2 h

We know the volume = 108 *pi and the height = 12

Substituting into the equation

108 * pi = pi * r^2 * 12

Divide each side by pi

108 * pi/pi = pi/pi * r^2 * 12

108 = r^2 * 12

Divide each side by 12

108/12 = r^2*12/12

9 = r^2

Take the square root of each side

sqrt(9) = sqrt(r^2)

3 = r

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TiliK225 [7]

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2 years ago

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PSYCHO15rus [73]

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MakcuM [25]

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Step-by-step explanation:

This can be solved by a rule of three.

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When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

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In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.

Solution:

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