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-Dominant- [34]
3 years ago
9

The volume, V, of a cylinder is V= \pi^2h, where r is the radius of the cylinder and h is the height. Using rounding to the near

est whole number,which of the following is an estimate of the volume of a cylinder with radius of 2.75 inches and height of 5.21 inches?
A. 45 in.^3
B. 90 in.^3
C. 135 in.^3
D. 216 in.^3
Mathematics
1 answer:
mylen [45]3 years ago
7 0

To solve this problem you must apply the proccedure shown below:

You have that the radius of the cylinder is 2.75 inches and the height is 5.21 inches. Therefore, you only need to substitute these values into the formula for calculate the volume of a cylinder:

V=\pi r^{2}h\\V=\pi(2.75in)^{2}(5.21in)\\V=123.78in^{3}=124in^{3}

Therefore, as you can see, the answer is: The volume of the cylinder is 124 in³.

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Write the standard form of the equation of the circle that passes through the point
AnnZ [28]

Answer:

The standard form of the equation of the circle is x^2+y^2=1.

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

                                             (x-h)^2+(y-k)^2=r^2

where <em>r</em> is the radius of the circle,  and <em>h</em>, <em>k</em> are the coordinates of its center.

When the center of the circle coincides with the origin h=k=0, so

                                            (x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2

We are also told that the circle contains the point  (0, 1), so we will use that information to find the radius <em>r</em>.

                                                   0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}

Therefore, the standard form of the equation of the circle is x^2+y^2=1.

5 0
3 years ago
Three less than two times a number is 55. What is the number ?
Aloiza [94]
29
2x29=58-3 =55
3-2x (x=29) =55
29x2=58-3
5 0
3 years ago
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Marcia is 1.5 meters tall. she casts a shadow that is 2 meters long. a nearby building casts a shadow that is 24 meters long. ho
ankoles [38]
Ratio and proportion

height:shadow=1.5:2

for the building, shadow=24

1.5:2=h:24
1.5/2=h/24
multiply both sides by 24
36/2=h
18=h
the building is 18 meters
3 0
3 years ago
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Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9
amm1812
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form
8 0
3 years ago
A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She the
Natali [406]
<span>Well, they couldnt have studied negative time.. So Id say the domain is \(x \ge 0\) where \(x\) is the time they studied.</span>
5 0
3 years ago
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