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abruzzese [7]
4 years ago
11

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

square is StartFraction pi r squared Over 4 r squared EndFraction or StartFraction pi Over 4 EndFraction. A cylinder is inside of a square prism. The height of the cylinder is h and the radius is r. The base length of the pyramid is 2 r. Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals
Mathematics
2 answers:
IgorLugansk [536]4 years ago
8 0

Answer:

D

Step-by-step explanation:

i took the test

Arada [10]4 years ago
3 0

Answer:

\pi r^2 h

Step-by-step explanation:

\text{Area of the circle: Area of the Square =}\dfrac{\pi r^2}{4r^2}:1=\dfrac{\pi}{4}:1

Height of the cylinder =h

Radius of the Cylinder=r

Base Length of the Prism=2r

Therefore:

Volume of the Prism =(2r)^2h=4r^2h

\text{Volume of the Cylinder =} \frac{\pi}{4}(\text{the volume of the prism)}\\=\frac{\pi}{4}(4 r^2 h) \\=\pi r^2 h

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gizmo_the_mogwai [7]

Answer:

So you divide both sides by -1/5. Since you are dividing by a negative you flip the sign. 10 divided by -1/5 is -2.

your answer is the second option, x is greater than or equal to -2.

6 0
3 years ago
The measure of an angle is 73.9º. What is the measure of its complementary angle?​
Musya8 [376]

Answer:

Step-by-step explanation:

let the other angle be x

in complementary angle sum of two angle is 9 degree.so,

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x=90-73.9

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3 years ago
Find the value of 7 + b when b= 15.<br><br> Help ?
Lisa [10]

7 + b

= 7 + 15

= <u>22</u>

<u>hope</u><u> </u><u>it</u><u> </u><u>helps</u><u>!</u>

4 0
2 years ago
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PLS HELP!!! YOU'LL BE A GRADE SAVER. I'LL IVE BRAINLIEST IF CORRECT. Triangle XYZ was dilated by a scale factor of 2 to create t
tankabanditka [31]

Answer:

Step-by-step explanation:

As for the angles of both triangles; they’re the same. The sides are 1:2.

I’m giving you formulas that are labeled: side a shortest

” b mid length

” c hypotenuse

angle α(alpha) opposite side a

” β(beta) ” ” b

” γ(gamma) ” ” c

A major formula for rt triangles is: a^2+b^2=c^2.

*Another is: a/sinα=b/sinβ=c/sinγ.

Remember α+β+γ=180°.

As for sides a&b use the above formula.

As for <ACB; the angle is γ which is a rt <.

Given: tan<x=5/2+1/2=6/2=3atan=71.565……….°=β. So α=18.44…….°. γ= rt angle.

To get the sides use the formulas at *.

6 0
3 years ago
Question 24 of 25
Ymorist [56]

Answer:

common \  ratio ,r =\frac{a_{2} }{a_{1} } = \frac{12}{72}=\frac{1}{6}

option D

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3 years ago
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