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Irina18 [472]
3 years ago
8

Find the height of the cylinder.

Mathematics
2 answers:
Sever21 [200]3 years ago
6 0

Hello there!

I just did the equation and your answer is 2.4 in.

I'm also a student who had this question on my test and this answer was right.

Hope this helps and have a wonderful day!

lara31 [8.8K]3 years ago
3 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
V=271.4\\
r=6
\end{cases}\implies 271.4=\pi (6)^2h\implies \cfrac{271.4}{\pi (6)^2}=h
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Plsss help. Thanks!!
slava [35]

Answer:

401

Step-by-step explanation:

1. Approach

To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer

2. Circumference of the circle

The formula to find the circumference of a circle is;

2r(pi) or d(pi)

~ diameter times the value (pi)

Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.

Substitute in the values;

(78)(pi)

~ 245

3. Find the perimeter of the entire object

Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;

78 + 78 + 245

= 401

3 0
2 years ago
Read 2 more answers
Mr. Owens' printer can print 55 pages in 30 minutes. How many pages can it print In 1 hour?
miskamm [114]

Answer:

110 pages

Step-by-step explanation:

The rate of 55 pg in 30 minutes is given in "minutes".

Thus,

we need to convert 1 hour to minutes.

We know 1 hour = 60 minutes

Note: 30 mins * 2 = 60 minutes

Logically, 30 minutes makes 55 pages, so 60 minutes (30 * 2) will make 55 * 2 = 110 pages

So, in 1 hour, it can print 110 pages (at this rate)

8 0
3 years ago
Whats the step by step answer to this equation i got -25 but its supposed to be positive not negative
andreev551 [17]

Answer:

25

Step-by-step explanation:

  • - 6/5x = -30               ⇒ multiply both sides by -1
  • 6/5x = 30                  ⇒ multiply both sides by 5
  • 6x = 5*30
  • x = 150/6                   ⇒ divide both sides by 6
  • x = 25                        ⇒ answer
6 0
3 years ago
Read 2 more answers
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

4 0
3 years ago
(1008.5)(2) pleasee helpp
nikdorinn [45]

Answer:

2,016.4

Step-by-step explanation:

4 0
2 years ago
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