What is the number 4,305,012 written in expanded form

what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box

Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

$\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height$

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

$\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15$

Substitute all the values in the formula

$\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130$

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

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5 0

2 years ago

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Darya [45]

Answer: 6/5

Step-by-step explanation:

7 0

2 years ago

Can someone please help me with this question, I'm stuck !

kow [346]

I think B. Don't question me about it tho.

3 0

2 years ago

A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from $48\,ft^{3}$ to $384\,ft^{3}$ .

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

$V = w\cdot h \cdot l$

Where:

$w$ - Width

$h$ - Height

$l$ - Length

If dimensions are doubled, then volume is increased in a factor of 8:

$V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)$

$V_{f} = 8\cdot w \cdot h \cdot l$

$V_{f} = 8 \cdot V_{o}$

The volume is increased from $48\,ft^{3}$ to $384\,ft^{3}$ .

3 0

3 years ago

If a new data point at 12 is added to the graph , which will be true ?

Orlov [11]

Answer:

3. The mean will increase more than median, but both will increase.

Step-by-step explanation:

We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.

Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.

Let us check this using our given information. Our data set before adding 12 is:

1, 2, 2, 2, 3, 4, 4, 4, 5.

We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.

$\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}$

$\text{Mean}=\frac{27}{9}=3$

Therefore, mean of our data set is 3.

Upon adding a data point at 12, our new data set will be:

1, 2, 2, 2, 3, 4, 4, 4, 5, 12.

Now our data set has 10 terms, so median will be the average of 5th and 6th term.

$\text{Median}=\frac{3+4}{2}$

$\text{Median}=\frac{7}{2}=3.5$

Therefore, the median of new data set will be 3.5.

$\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}$

$\text{Mean}=\frac{39}{10}$

$\text{Mean}=3.9$

Therefore, mean of new data set will be 3.9.

Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).

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2 years ago

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