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3 years ago

A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder

1 answer:

8 0

<span>343 pi in^3 ; exact volume 1078 in^3 ; Approximate volume Since it's not specified, I will assume the axis of rotation will be one edge of the square. With that in mind, here's the solution. Since the shape specified is a square with an area of 49 in^2, the length of any edge will be sqrt(49) = 7 inches. Since we're rotating along one edge, we will create a cylinder with a radius of 7 inches and a height of 7 inches. The volume will be the area of a circle with a 7 inch radius multiplied by the height of the cylinder. So V = pi*h*r^2 V = pi*7*7^2 V = pi*7*49 V = pi*343 V = 343pi V = 1077.56628; approximately. So the exact volume is 343pi in^3 and an approximate volume is 1078 in^3</span>

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What is the measure for STU?

Vesna [10]

18q+18=180
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3 years ago

Find the population mean or sample mean as indicated. Sample: 19, 15, 6, 11, 24 Compute the sample mean for this data set. Selec

yKpoI14uk [10]

Answer:

$\overline{x}=15$

Step-by-step explanation:

the mean is given by:

$\overline{x} = \dfrac{\sum\limits_{i=1}^n x_i}{n} \quad\text{or}\quad \dfrac{\text{sum of all items}}{\text{number of items}}$

In our case this is:

$\overline{x} = \dfrac{19+15+6+11+24}{5} \Rightarrow \dfrac{75}{5}\\\\\overline{x} = 15\\\\$

side note: the main difference between sample mean and population mean is in the 'context'. However, the method to calculate them is the same.

By context I mean: if this the items are taken from some larger category for example: the ages of a few 'students' from a 'class'. Here 'students' are the sample from a larger set that is 'class'. The mean of the 'few students' will be called sample mean. In contrast, if we take the mean of the ages of the whole class then this is called population mean. (population mean == mean of the whole set)

In our case we aren't told exactly where these numbers come from, is this the whole set or a sample from it, the lack of context allows us to assume that the mean can either be population mean or sample mean. So we can safely use any symbol $\mu$ or $\overline{x}$ .

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3 years ago

Which expression is equivalent to -6-(-2)?

const2013 [10]

The answer is -4 because two negatives is the same as adding so -6 + 2 = -4

5 0

3 years ago

Read 2 more answers

Why is it incorrect to say that 5o percent heritability of intelligence means that the cause of your intelligence is 50 percent

pentagon [3]

Answer with explanation:

It is incorrect to say that 50% heritability of intelligence means that the cause of the intelligence is 50% genetic and 50% environmental.

<em><u>Because heritability accounts for variations among people, not in specific individuals which means that the cause is not 50% environmental or 50% genetic but rather based on variations among individuals</u></em>

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3 years ago

Darren is painting a wooden block as part of his art project The block is a rectangular prism that is 12cm long by 9 cm wide by

Ksenya-84 [330]

Answer:

<h3>The surface area in square meters that Darren has to paint is $426cm^2$ </h3><h3>∴ $A=426cm^2$ </h3>

Step-by-step explanation:

Given that Darren is painting a wooden block is a rectangular prism

Its length is 12 cm ,width is 9 cm and height is 5 cm

<h3>To find the surface area in square meters that Darren has to paint :</h3>

Let l be the length, w be the width and h be the height

Then l=12 cm , w=9 cm and h=5 cm

The formula for the Surface area is

A=2(lw+wh+hl) square units

Substitute the values in formula we get,

A=2(12(9)+9(5)+5(12))

=2(108+45+60)

=2(213)

=426

<h3>∴ $A=426cm^2$ </h3><h3>∴ the surface area in square meters that Darren has to paint is $426cm^2$ </h3>

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3 years ago