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Mila [183]
4 years ago
10

What is the exact volume of the cylinder?

Mathematics
2 answers:
egoroff_w [7]4 years ago
4 0
The formula for a cylinder is πr²*h where r is the radius and h is the height:

1.) Plug in r for 4, as the radius is 4
π(4)²*h

2.) Plug in h for 8, as the height is 8
π(4)²*8

3.) Simplify 4²
π(16)8

4.) Simplify 16*8
π128

5.) Don't forget your units, inches cubed (because you multiplied three dimensions all with inches, which results in the inches being multiplied three times as well)
π128 in³ or 128πin³

It is the third answer choice, hope this helped :)
dmitriy555 [2]4 years ago
3 0
The third choice 128pi in^3 which equals 402.12 in^3
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allochka39001 [22]

Answer: 1/2

<u>Multiply</u>

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10/4-2 is your new problem

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10/4 = 5/2

5/2-2 is your new problem

<u>Subtract</u>

5/2-2=1/2

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3 years ago
What is the equation of the line that passes through the point (3,4) and has a slope of zero
Lemur [1.5K]

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y = 4

Step-by-step explanation:

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Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree?
vodomira [7]

Answer:

I do not agree because Mario's claim is not general.

Step-by-step explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

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Considering the following fractions whose denominators are prime numbers:

\frac{2}{3} = 0.66666666...

\frac{1}{7} = 0.142857142

\frac{5}{11} = 0.45454545...

\frac{3}{13} = 0.23076923

\frac{1}{7} = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.

4 0
3 years ago
An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul
valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

<u><em>The picture of the question in the attached figure N 1</em></u>

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b)  If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see  the attached figure N 2 to better understand the problem

5 0
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