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3 years ago

7

What is the volume of the cylinder below?

2 answers:

ella [17]3 years ago

5 0

Answer:

B) Volume of cylinder is $36 \pi$ units³.

Step-by-step explanation:

Given : Cylinder.

To find : what is the volume of the cylinder below.

Solution : We have given cylinder with radius = 3 units.

Height = 4 units .

Volume of cylinder = $\pi * radius^{2} * height.$

Plug the values

Volume of cylinder = $\pi * (3)^{2} * 4$ .

Volume of cylinder = $\pi* 9 * 4$ .

Volume of cylinder = $\pi 36$ units³.

Volume of cylinder is $36 \pi$ units³.

Therefore, B) Volume of cylinder is $36 \pi$ units³.

Anestetic [448]3 years ago

3 0

Answer:

B

Step-by-step explanation:

The formula for volume of cylinder is given below:

volume of cylinder = $\pi r^2 h$

Where r is the radius (here, it is given as 3)

h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')

Plugging in the available info , we get our answer:

$\pi r^2 h\\=\pi (3)^2 (4)\\=36\pi$

B is the correct answer

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The regular price of a watch is $32.25. During a sale, the watch was marked 16% off. What was the price of the watch during the

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3 years ago

Read 2 more answers

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

<u>case B)</u> point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

<u>case C)</u> point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

<u>case D)</u> point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

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Arte-miy333 [17]

Answer:

-1

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y=mx+b

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2 years ago

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