Mathematics, 01.10.2019 11:20 ari10184

Two similar cylinders have radii of 7 and 1, respectively. what is the ratio of their volumes? two similar cylinders have radii of 7 and 1, respectively. what is the ratio of their volumes? b. 343: 1 d. 112: 1

Answers: 2

Show answers

Answers

Answer from: niki1524

When can we say that two objects are similar? It's when they coincide with at least one dimension. For this case, imagine two concentric cylinders as shown in the attached figure. Both of the figures are similar. The left side coincide with their heights and base circles, while the right side only coincide in the bases of the circles. Since the heights are not specified, let's suppose the heights are equal, denoted as h.

The volume of the cylinder is equal to: V = πr²h. If you want to find the bigger volume to the smaller volume, all you have to do is divide them. Therefore, the ratio is

Ratio = π(7)²h/π(1)²h

Cancel out like terms: π and h. It leaves us with 7² and 1². So, the final answer would be

Ratio = 49

However, the answer is not given in the choices. Therefore, the heights of the cylinders are not equal. There is no way for us to know the exact ratio without the dimensions of the heights. What we can do here is apply reverse engineering. Let's conform the answer to our solution. Suppose the answer is 112:1.

Ratio: 7²*h₂/1²*h₁ = 112
That means h₂/h₁ = 2.285714286

Suppose the answer is 343:1,
Ratio: 7²*h₂/1²*h₁ = 343
That means h₂/h₁ = 7

So, I think the answer is 343:1, because the ratio's of the heights is an exact whole number. This is logical because the dimensions of the heights are also whole numbers.
Two similar cylinders have radii of 7 and 1, respectively. what is the ratio of their volumes? two

Two similar cylinders have radii of 7 and 1, respectively. what is the ratio of their volumes? two

Answer from: Quest

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

Find the composition of transformations that map abcd to ehgf. !

Answer from: Quest

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.

Another question on Mathematics

Mathematics, 21.06.2019 17:40

Given abcd ac=38 and ae=3x+4 find the value of x

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

Hich equation can pair with x + 2y = 5 to create an inconsistent system? 2x + 4y = 3 5x + 2y = 3 6x + 12y = 30 3x + 4y = 8

Answers: 3

Answer

Mathematics, 22.06.2019 01:00

Pleasse me i need an answer. give me the correct answer. answer if you know it ! the club will base its decision about whether to increase the budget for the indoor rock climbing facility on the analysis of its usage. the decision to increase the budget will depend on whether members are using the indoor facility at least two times a week. use the best measure of center for both data sets to determine whether the club should increase the budget. assume there are four weeks in a month. if you think the data is inconclusive, explain why.

Answers: 3

Answer

You know the right answer?

Two similar cylinders have radii of 7 and 1, respectively. what is the ratio of their volumes? two...

Questions