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3 years ago

The volume of a cylinder is 576 cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Mathematics

2 answers:

Mademuasel [1]3 years ago

6 0

Answer:11.545 inches

Step-by-step explanation:

volume of a cylinder = πr^2h

576 = 22/7 × 4^2 × h

cross multiply

576×7 = 22×16×h

4032=352 × h

Divide bothside by 352

h = 4032/352

h =11.545

Therefore; the height of the cylinder is 11.545 inches

Ede4ka [16]3 years ago

4 0

Answer:

11.46 inches

Step-by-step explanation:

h=V

πr2=576

π·42≈11.45916in

(round)

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There are 12 members on the board of directors for the Newport General Hospital. If they must elect a chairperson, first vice ch

rosijanka [135]

Answer:

11880 different slates of candidates are possible.

Step-by-step explanation:

The order is important in this problem.

That is, John, Elisa, Laura and Rose means that John is the chairperson, Elisa the first vice chairperson, Laura the second vice chairperson and Rose the secretary. If we exchange John and Elisa, for example, it means that their roles also have changed.

So we use the permutations formula to solve this problem.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many different slates of candidates are possible?

Four roles in a set of 12 members. So

$P_{(12,4)} = \frac{12!}{(12-4)!} = 11880$

11880 different slates of candidates are possible.

5 0

3 years ago

In a class of 20 students 11 people have a brother 9 people have a sister 6 people have neither fill in the Venn diagram

Contact [7]

Answer:

Draw a Venn diagram with the left circle labeled brother, and the right labeled sister. Label the middle both and fhe outisde neither. Put 5 in brother, 3 in sister, 6 in both and 6 in neithrr.

Step-by-step explanation:

11+9 = 20

20-6 = 14

20-14=6

There are 6 that have both

7 0

3 years ago

Which measure of center will provide the most accurate estimation of the deposits for the savings account? Why?

faust18 [17]

Hello,

First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.

Afterwards you have to find the median. Why ?

I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.

"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?

Therefore the median is the most suitable and the most accurate to know the center because it is robust.

Now, let's find the median :

There are 10 values, so the median will be the average of the 5th and 6th values.

5th value = 85
6th value = 95

$\frac{(85+95)}{2}$
$= 90$

Therefore the median is 90.

Hope this helps !

Photon

4 0

3 years ago

How many ninths does it take to make the same amount as 1/3

IgorLugansk [536]

3.
ninths=1/9
1/3 is equal to 3/9.
so (1/9)*3 = 3/9

8 0

3 years ago

Read 2 more answers

Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.

Brrunno [24]

Answer: 8 weeks

explanation: 125 + 15x = 245

You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.

6 0

3 years ago