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tatyana61 [14]
3 years ago
14

Help pleaseee hurry if u can

Mathematics
1 answer:
Alborosie3 years ago
3 0

Answer:

sorry your questions image is blurr

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Two similar cones have heights of 9 cm and 4 cm. Find the ratio of their volumes
Rudik [331]

Answer:

The ratio of their volumes is:     \frac{729}{64}

Step-by-step explanation:

If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

\frac{R}{r} =\frac{9}{4} \\R=\frac{9\,r}{4}

where we have solved for "R" in terms of "r".

Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base (\pi *\,radius^2).

v=\frac{\pi\,r^2\,4\,}{3} =\pi r^2\,\frac{4}{3} \\V=\frac{\pi\,R^2\,9}{3}=\frac{\pi\,(\frac{9\,r}{4} )^2\,9}{3}=\frac{\pi\,r^2\,729}{16*3}=\pi r^2\,\frac{243}{16}

So now the ratio of their volumes (V/v) can be obtained:

\frac{V}{v} =\frac{\frac{243}{16}}{\frac{4}{3}}  =\frac{729}{64}

6 0
3 years ago
Please help with angles
melamori03 [73]
Angle 2&4 are corresponding 
Angle 4&5 are alternate exterior 
Angle 4 is 30 and 7 is 150
5 0
3 years ago
Which value of m makes the equation 3(m+4)-6m=2(4-2m true?
Dennis_Churaev [7]
So you have to guess and check to find the answer to the question
If you put m as a positive number, the answers aren't equal
After testing and trailing, the answer is negative four
6 0
3 years ago
How to ESTIMATE the QUOTIENT 74.3 ÷ 8
GaryK [48]
You divide and simplify and get9.2875
7 0
3 years ago
Is it possible to make a triangle out of 10 cm 9cm 9cm
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

a+b=c ,a could be 9+9 which equals 18 which is greater than 10,

4 0
3 years ago
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