MATHEMATICS COLLEGE

Work out the height of this cone

Answers

Answer 1

Answer:

Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

540π=(81πh)/3

540π=27πh

Divide both sides by 27π

540π/27π=(27πh)/27π

20=h

h=20

Height =20 cm

Related Questions

A function is shown belowg(x) = 19.60 + 1.74What is the value of x when g(x) = 28.3
The sum of two integers is 44. The difference of the two integers is 8.What is the smaller integer?
I need help ASAP !!!
Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?
Help!!! Find all solutions to the equation 7 sin^2x - 14 sin x + 2 = -5

Do these pairs of values (x and y) represent two quantities that are proportional?HELP ME PLEASE

Answers

Yes, it is proportional. The answer would be B.

Explanation:

The common difference in the X factors is 2, and t he common difference in the y factors is 1.

Answer:

its b but i am not sure because my text was different

The value of the Euler \phi function (\phi is the Greek letter phi) at the positive integer n is defined to be the number of positive integers less than or equal to n that are relativel prime to n, For example for n=14, we have {1, 3, 5, 9, 11, 13} are the positive integers less than or equal to 14 which are relatively prime to 14. Thus \phi (14) = 6.Find the following:\phi(9) = __________.\phi(15) = __________.\phi(75) =__________.

Answers

Answer:

$\bf \phi (9)=5$

$\bf \phi (15)=8$

$\bf \phi (75)=40$

Step-by-step explanation:

Positive integers relative primes to 9 which are less or equal than 9

{1,2,4,5,7}

$\bf \phi (9)=5$

Positive integers relative primes to 15 which are less or equal than 15

{1,2,4,7,8,11,13,14}

and

$\bf \phi (15)=8$

Positive integers relative primes to 75 which are less or equal than 75

{1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34,37,38,41,43,44,46,47,49,52,53,56,58,59,61,62,64,67,68,71,73,74}

and

$\bf \phi (75)=40$

Which of the following statements is not true? A. If the probability of an event occurring is 1.5, then it is certain that event will occur. B. If the probability of an event occurring is 0, then it is impossible for that event to occur.

Answers

Answer:

Therefore, we conclude that the statement in (A) is incorrect.

Step-by-step explanation:

We have the following sentences:

A) If the probability of an event occurring is 1.5, then it is certain that event will occur.

B) If the probability of an event occurring is 0, then it is impossible for that event to occur.

We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that is equal to 1.5.

Therefore, we conclude that the statement in (A) is incorrect.

Can someone explain how to do it aswell please and thank you

Answers

Answer:

B: 24ft^2

Step-by-step explanation:

Area of triangle = (base x height)/2

Step 1: form an equation

a = (12ft x 4ft)/2

Step 2: solve equation

a = 48ft^2 / 2

a = 24ft^2

*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*

Scores on a recent national statistics exam were normally distributed with a mean of 82.2 and a standard deviation of 5.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award

Answers

Answer:

The lowest score eligible for an award is 92.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

$Z = (X - \mu)/(\sigma)$

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 question:

$\mu = 82.2, \sigma = 5$

If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award

The lowest score is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975. So X when Z = 1.96. Then

$Z = (X - \mu)/(\sigma)$

$1.96 = (X - 82.2)/(5)$

$X - 82.2 = 5*1.96$

$X = 92$

The lowest score eligible for an award is 92.

At a basketball game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Answer:

Hot dogs - 27, soda - 81

Step-by-step explanation:

Soda to Hot dog ratio = 3:1

If the total is 108, we can divide 108/4 ---> 27

now, multiply 3 and 1 by 27 and there you go!

edit: also if you don't know why I divided 108 by 4, its because you add together both sides of the ratio

Other Questions

Factor completely 2x2 − 32.Prime 2(x2 − 16) 2(x + 4)(x + 4) 2(x + 4)(x − 4)

Solve 3sqrt(x) = 8/(sqrt(9x - 32)) + sqrt(9x - 32)

Given the function graphed below, select each ordered pair that represents a solution to the function.graph

8. Jamad is training to run in a race. During the first week of training, he ran 5.5 miles. In the fifth week of training, hewas able to increase the distance he ran to 7.04 miles. By what percent was he able to increase his runningdistance?