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Oduvanchick [21]
3 years ago
7

The height of a cylinder is 13centimeters. The volume of the cylinder is 16,328 cubic centimeters. What is the radius of the cyl

inder? Use 22/7 or 3.14 for p.
Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

Answer: radius = 19.99 centimeters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 22/7

From the information given,

Volume = 16328 cubic centimeters

Height = 13 centimeters

Therefore,

16328 = 22/7 × r² × 13

16328 = 40.857r²

Dividing the left hand side and the right hand side of the equation by 40.857, it becomes

r² = 16328/40.857 = 399.6378

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = 19.99 centimeters

nikitadnepr [17]3 years ago
3 0

Answer:

radius - 19.99 centimeters

Step-by-step explanation:

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attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: \frac{x}{12\pi } = \frac{130}{360}

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) \frac{arclength}{2\pi.r } = \frac{mAB}{360}, where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = \frac{mAB.2.\pi.r }{360}

arc length = \frac{90.2.3.14.6}{360}

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

\frac{x}{2.6.\pi } = \frac{130}{360}

\frac{x}{12\pi } = \frac{130}{360}

c) Resolving (b):

x = \frac{130.12.3.14}{360}

x = 13.6

The arc length for the image is 13.6 inches.

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Step-by-step explanation:

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Which graph represents the function of f(x) 9x^2 -36 / 3x + 6
Finger [1]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}-36}{3x+6}

Remember that the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

<em>Simplify the numerator</em>

9x^{2}-36=(3x+6)(3x-6) ----> by difference of squares

substitute

f(x)=\frac{(3x+6)(3x-6)}{3x+6}

simplify

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The domain is all real numbers except the value of x=-2

The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)

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The graph in the attached figure

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