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Oduvanchick [21]
4 years ago
12

The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answe

r to the nearest hundredth. A.
small cylinder: 152.00 m3
large cylinder: 950.02 m3
B.
small cylinder: 972.14 m3
large cylinder: 12,924.24 m3
C.
small cylinder: 851.22 m3
large cylinder: 13,300.25 m3
D.
small cylinder: 682.95 m3
large cylinder: 13,539.68 m3
Mathematics
2 answers:
Veseljchak [2.6K]4 years ago
5 0
The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to the nearest hundredth.

Answer: out of all the available options the one that shows the correct volumes for each cylinder is answer choice C) small cylinder: 851.22 m³ & large cylinder: 13,300.25 m³.

I hope it helps, Regards.
WITCHER [35]4 years ago
4 0
R1² π : r2² π = 9 : 1.44
r1 : r 2 = 3 : 1.2
r2 = 1.2 · r1  / 3
r 2 = 0.4 · r1
If the two cylinders are similar than also: h 2 = 0.4 · h 2
V 1 = r1²   · π  · h1
V 2 = ( 0.4 r1)² π · 0.4 · h1 = 0.064 r1² · π · h1
V 2 ( small cylinder )= 0.064 · V 1 ( large cylinder ) 
851.22 m³= 13.300.25 m³ · 0.064
Answer: C )
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Read 2 more answers
Find the equation of the line parallel to y=2x+1 that contains point (14,3)
Sophie [7]

First of all, remember what the equation of a line is:

y=mx+b

Where: 

m=slope

b=y-intercept.

Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope

y=2x+b

To find b, think about what your (x,y) point means:<span>(14,3). When x of the line is 14, y of the line must be 3.

Because we were given the point (14,3) 
</span>

We need to find the value of b.  The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).

<span>Plug in for x the number 14 and for y the number 3:
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 y=mx+b or 3=2 × 14+b,

solving for b: b=3-(2)(14). b=-25.

<span>Plug that in for b: 
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8 0
3 years ago
Michael and Tyler both ran a half marathon Michael finished in 1 hour 42 minutes and 13 seconds Tyler finished in 97 minutes and
xxMikexx [17]

Answer:

Step-by-step explanation:

From the question, we are informed that Michael and Tyler both ran a half marathon and that Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 97 minutes and 49 seconds.

First, we should know that 60 minutes makes 1 hour, therefore we need to change Tyler's time taken to finish the marathon appropriately. Since Tyler finished in 97 minutes and 49 seconds, this will be converted to 97 minutes equals 1 hour 37 minutes. Therefore, Tyler used 1 hour, 37 minutes and 49 seconds.

Since Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 1 hour, 37 minutes and 49 seconds. We can see that Tyler is faster than Michael.

To know how much faster Tyler was, we subtract Tyler's time from Michael's. This will be:

= (1 hour, 42 minutes 13 seconds) - (1 hour, 37 minutes, 49 seconds)

= 4 minutes, 24 seconds.

Tyler was faster by 4 minutes, 24 seconds.

4 0
3 years ago
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