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Nadusha1986 [10]
3 years ago
13

A cylinder’s volume can be calculated by the formula V=pir^2h , where V stands for volume, R for the base radius and H for the c

ylinder’s height.
Use the formula to calculate the cylinder’s volume if its base’s radius is 3m , and its height is 6m . (Type pi for , and m^3 for cubic meters.)

This cylinder’s volume, in terms of Pi , is ______?
.
This cylinder’s volume, rounded to the hundredth place, is ______?
Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

Step-by-step explanation:

Formula

V pi * r^2 * h

Givens

r = 3 m

h = 6 m

pi = 3.14 when used.

Solution

V = pi r^2 * h

V = pi * 3^2 * 6

V = 9 * 6 * pi

V = 54 * pi  Volume in terms of pi

V = 54*3.14 Volume using a value for pi

V = 169.56 to the hundred's place.

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Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first 8 terms of the geom
Dvinal [7]

Answer:

-2040

Step-by-step explanation:

S_n=a_1\dfrac{r^n-1}{r-1} \qquad\text{for first term $a_1$ and common ratio r}\\\\S_8=-8\dfrac{2^8-1}{2-1}=-2040

The sum of the first 8 terms is -2040.

8 0
4 years ago
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3 years ago
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What is the slope of the line that passes through the points (-2, -5)(−2,−5) and (-3, -6) ?(−3,−6)? Write your answer in simples
pogonyaev

Answer:

0 & 0

Step-by-step explanation:

In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.

(-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)

Slope formula = m=\frac{y^2-y^1}{x^2-x^1}

Substitute: \frac{-5--5}{-2--2} =

\frac{-5--5}{-2--2} =-5--5 = 0

-2--2 = -2+2=0

= 0

(-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)

m=\frac{-6--6}{3--3}

-6+6=0

-3+3=0

=0

Hope this helps.

7 0
2 years ago
Line r is parallel to line s.<br> In which diagram MUST angle 1 be congruent to<br> angle 2?
sattari [20]

Answer:

C

Step-by-step explanation:

In C, angle 1 and 2 are alternate exterior angles, meaning that they are equivalent. They are only corresponding angles in the other options and corresponding angles are not always congruent. So the answer must be C.

5 0
4 years ago
What is the distance between the points (-4, 6) and (1, -6)?
Oksanka [162]

Answer:

The distance between these 2 points is 13.

Step-by-step explanation:

Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.

First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

-6-6=-12

Distance is an absolute value from 0, so -12 is the same as 12.

Next, find the horizontal distance between the x-coordinates.

1--4=5

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13

The distance between these 2 points is 13.

6 0
3 years ago
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