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2 years ago

Find the volume of the sphere. Round your answer to the nearest tenth.

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Answer:

Volume of sphere = 44.57 cm³

Step-by-step explanation:

Given:

Diameter of sphere = 4.4 centimeter

Value of π = 3.14

Find:

Volume of sphere

Computation:

Radius of sphere = Diameter of sphere / 2

Radius of sphere = 4.4 / 2

Radius of sphere = 2.2 centimeter

Volume of sphere = [4/3][π][r³]

Volume of sphere = [4/3][3.14][2.2³]

Volume of sphere = [4/3][3.14][10.648]

Volume of sphere = [1.333][3.14][10.648]

Volume of sphere = 44.568

Volume of sphere = 44.57 cm³

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The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.

Setler79 [48]

Answer:

r = 1

Step-by-step explanation:

we know that :

$Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}$

Then

$\frac{5}{4} =\frac{16-r}{-3-(-15)}$

Then

$\frac{5}{4} =\frac{16-r}{12}$

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1

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1 year ago

Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a

Ad libitum [116K]

Answer:

The slope is 2/3 and the function is y=2/3x which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

= 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

y-2 = 2/3(x-3)

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

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2 years ago

Name a container that you see at home that when filled has a liquid volume of about 1 liter.

Alchen [17]

Answer: flower vase

Step-by-step explanation:

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3 years ago

Apopulation grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.a) Write a function to model the

solong [7]

Answer:

a) $P(t) = 22000(1.071)^{t}$

b) The population increases 7.1% each year.

Step-by-step explanation:

The continuous population growth model is given by:

$P(t) = P_{0}(1+r)^{t}$

In which $P(t)$ is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

In this problem, we have that:

A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.

This means that $P_{0} = 22000, r = 0.071$

a) Write a function to model the population increase.

$P(t) = 22000(1 + 0.071)~{t}$

$P(t) = 22000(1.071)^{t}$

b) By what percent does the populaiion increase each year?

$r = 0.071$

So the population increases 7.1% each year.

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3 years ago

A company lost an average of $30,000 per month. Find the total loss of the company in 1 year.

Art [367]

Answer:

$360,000

Step-by-step explanation:

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2 years ago

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