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Anit [1.1K]
3 years ago
8

Two similar cylinders have volumes 125 and 216. The radius of the smaller cylinder is 3. Find the radius of the larger cylinder.

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

The radius of the larger is 3 3/5 cm or 3.6 cm

Step-by-step explanation:

The ratio of the volumes is  that is related to the scale factor cubed

125/216  = (sf) ^3

Taking the cube root of each side

(125/216)^1/3  = (sf) ^3 ^(1/3)

5/6 = (sf)

That means the ratio of the radii is in the same proportion

5/6 = 3/ r

Using cross products

5r = 6*3

5r/5 = 18/5

r = 18/5 = 3 3/5

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HELP MUST BE DONE BY 4:00
Leya [2.2K]

Answer:

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8 0
3 years ago
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. T
cestrela7 [59]

Answer:

The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m

The equation would be:

144 x 3.14 - 64 x 3.14 = 251.2

Step-by-step explanation:

First, you need to find out what the whole circle is:

The whole circle is 452.16

Then, find the inner circle :

8 x 8 x 3.14  

200.96

Last, subtract the whole by the inner:

452.16 - 200.96 = 251.2

hope this helps!

5 0
3 years ago
You planted 488 acres of corn last season. You sold all your corn: 8,120 bushels in August and 46,100 bushels in September. What
strojnjashka [21]
Add August and September for total amount of bushels:

46,100 + 8,120 = 54,220 total bushels

Divide total bushels by total acres:

54,220 / 488 = 111.1 = 111 bushels per acre
4 0
3 years ago
Anna is going to invest in an account paying an interest rate of 5.1% compounded
Ronch [10]

Answer:

it’s 23000    

Step-by-step explanation:

3 0
3 years ago
Can someone explain how the answer to #14 is 7/8 in;0.875 in.
Tamiku [17]

Of the 16 small intervals indicated from 0 to 1 inch, the ant spans 14 of them, so

\dfrac{14}{16} = \dfrac{7}{8} \textrm{ inches} = 0.875 \textrm{ in}

How is 7/8 equal to 0.875?

Since 125(8)=1000 and 125(7)=875 we know

\dfrac{7}{8} = \dfrac{7 \cdot 125}{8 \cdot 125} = \dfrac{875}{1000} = 0.875


8 0
3 years ago
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