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2 years ago

How do you find the volume of a cylinder when you know the radius and height

Mathematics

1 answer:

lys-0071 [83]2 years ago

6 0

Answer:

Step-by-step explanation:

This is one of those formulas of algebra and geometry that you need to learn. If you know the radius and the height of a vertical cylinder, then its volume is equal to the (base area) times the (height), which, symbolically, are

V = (base area)(height)

Here,

V = πr²· h where πr² is the area of the base (which is a circle of radius r) and h is the height of the cylinder.

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The sales tax on a $20 hammer is 7 percent, or $1.40. why is this tax a bigger burden for josh, who has a $15,000 income, than f

Bond [772]

Answer:

The ratio of the sales tax to Josh income is greater than the sales tax to aaron income (As the income of the Josh is less as compared to the arron income) this shows the tax is bigger burden for the Josh as compared to the aaron .

Step-by-step explanation:

As given

The sales tax on a $20 hammer is 7 percent, or $1.40.

As income of the josh is 15000 and the income of the aaron is $150000 .

Now the ratio of the sales tax to the josh income .

$\frac{Sales\ tax}{Josh\ income} = \frac{1.40}{15000}$

$\frac{Sales\ tax}{Josh\ income} = \frac{14}{15000\times 10}$

$\frac{Sales\ tax}{Josh\ income} = \frac{7}{75000}$

In decimal form

$\frac{Sales\ tax}{Josh\ income} = 0.000093\ (Approx)$

Now the ratio of the sales tax to the aaron income .

$\frac{Sales\ tax}{aaron\ income} = \frac{1.40}{150000}$

$\frac{Sales\ tax}{aaron\ income} = \frac{14}{150000\times 10}$

$\frac{Sales\ tax}{aaron\ income} = \frac{7}{750000}$

In decimal form

$\frac{Sales\ tax}{aaron\ income} = 0.0000093\ (Approx)$

Thus as the ratio of the sales tax to Josh income is greater than the sales tax to aaron income (As the income of the Josh is less as compared to the arron income) this shows the tax is bigger burden for the Josh as compared to the aaron .

3 0

2 years ago

Read 2 more answers

A shipments of 8 boxes was delivered to mason bookstore each box holds the same number of book if there are 744 books in the shi

Yuki888 [10]

I think 93 but I could be wrong

7 0

3 years ago

How many centiliters are in 6.02 decaliters

Vinil7 [7]

Well one decaliter is 1000 centiliters so 6.02 * 1000 = 6020 . so the answer is 6,020 centiliters .

8 0

2 years ago

A four-digit number N leaves a remainder of 10 when divided by 21, a remainder of 11 when divided by 23, and a remainder of 12 w

aksik [14]

Answer:

Step-by-step explanation:

There may be a formal way to solve simultaneous Diophantine equations, but I don't know what it is. So, I addressed this by solving them 2 at a time.

First of all, we want to find a relation between integers p and q such that ...

21p+10 = 23q +11

21p -23q = 1 . . . . . . subtract 23q+10

Using the extended Euclidean algorithm or trial and error or astute observation, we find that (p, q) = (11, 10) is a solution to this equation. Then we can write p and q as ...

p = 23n+11
q = 21n+10

for some integer n.

Then our original numbers become ...

21p+10 = 21(23n+11)+10 = 483n +241 . . . . for some integer n

For this to be a 4-digit number, we must have n such that

1000 ≤ 483n +241 ≤ 9999

1.6 < n < 20.2

Modulo 25, the number (483n+241) is ...

8n +16

and we want that value to be 12:

(8n +16) mod 25 = 12

(8n +4) mod 25 = 0 . . . . . subtract 12

4(2n+1) mod 25 = 0 . . . . factor out 4

For this to be true, we must have 2n+1 be a multiple of 25. The only value of n that is in the required interval [2, 20] is n=12.

When n=12, 483n+241 = 6037. The sum of digits of 6037 is 16.

3 0

2 years ago

Consider the line given by the equation: 2x - y= -2

Klio2033 [76]

Answer:

Step-by-step explanation:

look at 2=x-y=2

move this term to the left (2)

it becomes 2=x-y+2=0

and thats your results

Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)

7 0

2 years ago