Ask question

Ask question

All categories

3 years ago

12

A cylinder has a height of 4 inches greater than the radius of its base. Find the radius and the height to the nearest inch if t

he volume of the cylinder is 5pi cubic inches.

2 answers:

valkas [14]3 years ago

8 0

Answer:

d

Step-by-step explanation:

just cus

anastassius [24]3 years ago

7 0

Answer:

$h=5in, r=1in$

Step-by-step explanation:

The volume of a cylinder is:

$V=\pi*r^2*h$

where $r$ is the radius and $h$ is the height.

The height is 4 inches greater that the radius, so:

$h=r+4in$

Substituting this in the formula for volume:

$V=\pi*r^2*(r+4)$

the volume is $V=5\pi in^3$

thus:

$5\pi in^3=\pi*r^2*(r+4in)$

Dividing everything between pi:

$5in^3=r^2*(r+4in)$

$5in^3=r^3*+4r^2$

We can see that the solution for this is $r=1in$

since $(1)^3*+4(1)^2=1+4=5$

We have the radius, now we find the height:

$h=r+4in=1in + 4in = 5in$

$h=5in, r=1in$

You might be interested in

What happened that caused Nollie's housemate, Katrien, to arrive at the ten Boom's house in an emotional state?

REY [17]

Answer:

Nollie told the police that Annaliese was a Jew

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How do I Graph y= –73x+2 .

Romashka-Z-Leto [24]

Answer:

See attachment

Step-by-step explanation:

You can obtain any two points on the graph of $y=-73x+2$ and use it to draw its graph.

When x=0, $y=-73*0+2=2$

So you plot (0,2)

When x=1, $y=-73*1+2=-71$

You again plot (1,-71).

With a straight edge you can now draw a straight line through the two points.

See attachment

4 0

3 years ago

Murljashka [212]

Answer:

Step-by-step explanation:

Reflect over the Y axis, then translate (x+[-2], y+[-3])

8 0

2 years ago

Answer the following questions. Make sure to show all your work.

KengaRu [80]

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations

b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

f(x) = 2x + 1

f(-0.8) = 2(-0.8) + 1

f(-0.8) = -1.6 + 1

f(-0.8) = -0.6

Simiarly;

y = -3(-0.8)- 3

y = 2.4 - 3

y = -0.6

Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations

For the point (1/3, 2), substitute x = 1/3 into both functions as shown:

x = (y+2)/2

x = (2+2)/2

x = 4/2

x = 2

Simiarly;

x + 2 = 3

x = 3-2

x = 1

Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations

Learn more on systems of equation here: brainly.com/question/847634

5 0

2 years ago

Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.

Yuri [45]

Answer:

$D(x)= x\sqrt{2}$

Step-by-step explanation:

Given

$Side = x$

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

$D^2= Side^2 + Side^2$

Substitute x for Side

$D^2= x^2 + x^2$

$D^2= 2x^2$

Take the square root of both sides

$D= \sqrt{2x^2$

Split

$D= \sqrt{2} * \sqrt{x^2$

$D= \sqrt{2} * x$

$D= x\sqrt{2}$

Express as a function.

$D(x)= x\sqrt{2}$

4 0

3 years ago