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VashaNatasha [74]
3 years ago
12

The diameter and height of this cylinder are equal to the side length, s, of the cube in which the cylinder is inscribed. What i

s the expression for the cylinders volume?
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

V = (π/4)s³

Step-by-step explanation:

The volume of a cylinder can be found using the formula ...

V = πr²h

In this problem, we have r=s/2 and h=s. Filling in these values, the volume is ...

V = π(s/2)²·s = (π/4)s³

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Select the three expressions that are equivalent to 4/9
Deffense [45]

Answer:

8/18 or 12/27 or 16/36

Step-by-step explanation:

just add 4 on top and 9 on bottom and u should get all

6 0
4 years ago
Elijah made 14 quarts of punch for a party. How many gallons of punch did he make?
DochEvi [55]

Answer:

3.5 gallons of punch

Step-by-step explanation:

There are 4 quarts in 1 gallon.

Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.

Elijah made 3.5 gallons of punch.

8 0
2 years ago
What is h(p)=(p3+4p2-2) in distributive property
loris [4]
Let's solve for h.
h
p
=
p
3
+
4
p
2
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2
Step 1: Divide both sides by p.
h
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Answer:
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5 0
3 years ago
If a rectangular prism with a length of 12 feet and width of 9 feet has a surface area of 930 square feet, find its height.
MaRussiya [10]

Answer:

17 feet

Step-by-step explanation:

A=2(wl+hl+hw)

5 0
3 years ago
Read 2 more answers
Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
lys-0071 [83]

Answer:

\bold{x =cos\theta}\\\bold{y=sin\theta}

Step-by-step explanation:

The given system of linear equations is:

(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0

We have to solve the equations for the values of x, y.

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by sin\theta and second equation by cos\theta

Now, the equations become:

(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)

Now, let us add (1) and (2):

(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta

Using the equation:

(-sin\theta)x+(cos\theta)y=0

Putting value of y:

\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta

So, the answer to the system of linear equations is:

\bold{x =cos\theta}\\\bold{y=sin\theta}

7 0
3 years ago
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