All categories

3 years ago

Find the volume of a cone

Mathematics

2 answers:

vitfil [10]3 years ago

8 0

Answer:

301.58

Step-by-step explanation:

lianna [129]3 years ago

6 0

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

You might be interested in

Please help me solve this! Very urgent :(

ValentinkaMS [17]

Answer:

last one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Consider the following population of N = 12 scores:

Goshia [24]

Answer:

Step-by-step explanation:

1. Find the minimun and maximun value of the data.

Minimun: 2

Maximun: 6

2. Calculate the range (R).

Range=

6 - 2=

3. Calculate the average.

Average= (Sum of all values) / N

Average= (2+3+3+3+4+4+4+4+5+5+5+6) / 12

Average= (48) / 12

Average= 4.

4. Calculate the M and round the value down.

$M=\sqrt{N} =\sqrt{12}=3.46$

$M= 3$

6. Calculate A.

$A=\frac{R}{M} =\frac{4}{3} =1.3333$

7. Craft your table.

(Check attatched image 1).

LL: Lower limit.

UL: Upper limit.

8. Calculate the limits and fill out the table.

LL / UL

2.00 2.00+A=3.33

3.33 3.3333 +A=4.66

4.66 5.99

5.99 7.32

7.32 8.65

Filled out table: check attatched image 2.

9. Check the data, count how many values fall into each interval and annotate on "frequency".

For example: There are 4 values between 2 and 3.33, these values are 2,3,3, and 3. Therefore, we write 4 on the frequency (absolute) cell for this row of the table. And we do the same for all the other classes.

Check attatched image 3.

10. Calculate the frequency (relative) for all classes.

For example: the first class (row 1 of the table) contains 4 values. Therefore, it's relative frequency would be:

$\frac{4}{N}=\frac{4}{12} =0.3333=$ 33.33%

Note: We divide by 12 because N=12.

Do the same for all the other rows and finish filling out the table.

Check attatched image 4.

-------------------------------------------------------------------------------------------------------

Extra. To make an histogram, take the interval and the absolute frequency and graph it in the fashion shown in attatched image 5.

7 0

2 years ago

What is the answer to x^2-7x+10=0?

Mazyrski [523]

The answer would be x=2 or x=5

5 0

3 years ago

Read 2 more answers

How much wire is needed to build a rectangular pen 42.6 ft. long and 28.5 ft. wide

andreev551 [17]

Answer: 142.2 ft

Explanation:

Wire needed = Perimeter = 2(42.6 + 28.5) = 142.2 ft

4 0

4 years ago

Read 2 more answers

Mr. Green teaches mathematics and his class recently finished a unit on statistics. The student scores on this unit are: 40 47 5

Harrizon [31]

Answer:

Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)

Range of the data is 55.

Step-by-step explanation:

We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

The student scores on this unit are: 40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

We know that Measures of Central Tendency are: Mean, Median and Mode.

Mean is calculated as;

Mean = $\frac{\sum X}{n}$

where $\sum X$ = Sum of all values in the data

n = Number of observations = 24

So, Mean = $\frac{40+ 47+ 50+ 50+ 50+ 54+ 56+ 56+ 60 +60+ 62+ 62+ 62+ 63+ 65+ 70+ 70+ 72+ 76+ 77+ 80+ 85+ 85+ 95}{24}$

= $\frac{1547}{24}$ = 64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

If n is odd, then the formula for calculating median is given by;

Median = $(\frac{n+1}{2})^{th} \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

Now here in our data, the number of observations is even, i.e. n = 24.

So, Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(\frac{24}{2})^{th}\text{ obs.} +(\frac{24}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(12)^{th}\text{ obs.} +(13)^{th}\text{ obs.} }{2}$

= $\frac{62 + 62 }{2}$ = $\frac{124}{2}$ = 62

Hence, the median of the data is 62.

A Mode is a value that appears maximum number of times in our data.

In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

The Range is calculated as the difference between the highest and lowest value in the data.

Range = Highest value - Lowest value

= 95 - 40 = 55

Hence, range of the data is 55.

5 0

4 years ago