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charle [14.2K]
3 years ago
5

What is the exact volume of the cylinder?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0
The volume of the cylinder is based on the formula: Volume = base * height where base is the circular shapebase area is equal to pi r^2. radius in this case is 3 inches and height is 6 inches. Hence the volume is pi * 3^2 *6 or equal to 54 pi. The answer to this problem is C. 54 pi in3.
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When planning road development, the road commission estimates the future population using the function represented in the table,
Sindrei [870]

The significance of 160,000 in the function is the initial population at the time of the estimation.

The correct option is (C)

<h3>What is data?</h3>

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Given:

As per the table attached below:

F(x) signify the total population when the time was x hour.

So,  160,000 in the function signifies that the population at starting i.e., initial point.

Learn more about this concept here:

brainly.com/question/17112729

#SPJ1

7 0
2 years ago
-6x+y=-2<br>x-3y=9 what is the solution set?
Anarel [89]
Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:

 -6x + y = -2
  6x -18y = 54
--------------------
        -17y = 52, or y = -52/17.  Subst. this value of y into either equation to find the value of x.
3 0
3 years ago
Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
2 years ago
The diameter of a sphere is 6 cm. What is the volume of the sphere?
irinina [24]

Answer:

36pi

Step-by-step explanation:

the volume of a sphere is equal to 4/3 x pi x r^3

the radius is half of the diameter

3^3=27

27x4/3=36

36pi

6 0
3 years ago
Please help with 7-11
Thepotemich [5.8K]
The answer there is,-4
7 0
3 years ago
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