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4 years ago

Find the volume of a cylinder that has a radius of 7 and a height of 16. Leave your answer in terms of .

Mathematics

2 answers:

rusak2 [61]4 years ago

7 0

its approximately 2463.01 cubic units

natulia [17]4 years ago

6 0

Answer:

Volume of the cylinder = 2463.01 cubic units.

Step-by-step explanation:

Given : A cylinder that has a radius of 7 and a height of 16.

To find : Find the volume of a cylinder.

Solution : We have given

Radius of cylinder = 7 units.

Height = 16 units.

Volume of the cylinder = pi ( radius)² * height.

Plugging the values pi = 3.14, Radius of cylinder = 7 units.

Volume of the cylinder = 3.14 ( 7)² * 16.

Volume of the cylinder = 3.14* 49 * 16.

Volume of the cylinder = 2463.01 cubic units.

Therefore, Volume of the cylinder = 2463.01 cubic units.

You might be interested in

Using the bijection rule to count binary strings with even parity.

AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string a in B9, we define the element f(a) in E10 this way:

f(a) = a c {1} if a has an odd number of 1's
f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0

3 years ago

Battery packs in electric go-carts need to last a fairly long time. The run-times (time until it needs to be recharged) of the b

pav-90 [236]

Answer:

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 2, \sigma = 0.33$

What is the minimum level for which the battery pack will be classified as highly sought-after class

At least the 100-10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 2}{0.33}$

$X - 2 = 0.33*1.28$

$X = 2.42$

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

4 0

3 years ago

SOME ONE HELP!!! You are still at (1,5). The zombie is 8.7 units below you. Enter the correct coordinates of the zombie below.

zaharov [31]

Answer:

(1,-3.7)

Step-by-step explanation:

subtract the y axis to go down

5 - 8.7 = -3.7

4 0

2 years ago

Read 2 more answers

What is the solution for this system of equations y = x - 4 Y = -x + 6

lana66690 [7]

Our system of equations is:

y = x - 4

y = -x + 6

We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:

y = -x + 6

x - 4 = -x + 6

To simplify this equation, we first are going to add x to both sides of the equation.

2x - 4 = 6

Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.

2x = 10

Finally, we must divide both sides by 2, to get the variable x completely alone.

x = 5

To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.

y = x - 4

y = 5 - 4

y = 1

Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).

Hope this helps!

3 0

4 years ago

HELP PLEASE Complete the table given one rule Rule: y=4x

Aleksandr-060686 [28]

You plug in the numbers listed under x into the equation, and it will give you your y value:

x is 3

y = 4(3)

y = 12

x is 4

y = 4(4)

y = 16

x is 5

y = 4(5)

y = 20

5 0

3 years ago