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3 years ago

When you look at the two cylinders with these values of r and h, what do you notice about the proportions of the cylinders?

Mathematics

2 answers:

denpristay [2]3 years ago

7 0

Answer: One of the cylinders is short and wide, while the other is tall and thin.

Elden [556K]3 years ago

6 0

Answer and Explanation:

Volume of a cylinder is given by

V= Pi*r²*h

where v= volume of the cylinder

Pi is constant = 22/7 or 3.14159

r= radius of the circle of the cylinder

h= height of the cylinder

If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2

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Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.

Readme [11.4K]

Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

A room with dimensions 5.2 m by 4.3 m by 2.9 m
The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

= 5.2 m × 4.3 m × 2.9 m

= 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

= 64,844 L ÷ 1200 L/min

= 54.0367 minutes

= 54 minutes

Therefore, it would take approximately 54 minutes

4 0

3 years ago

What is the value of X?<br><br> 37 x X = 222

balandron [24]

Answer:

Step-by-step explanation:

sorry if im wrong

6 0

2 years ago

find the missing side of the triangle below. please round your final answer to the nearest tenth. Be sure to show all work! Use

AleksandrR [38]

I believe x=10.25 because of the pythagorean theorem.

5 0

3 years ago

What is the constant of proportionality in the graph below? (answer must be simplified fraction) PLEASE HELP I WILL MAKE U BRAIN

Pepsi [2]

Answer:

The constant of proportionality is $\frac{9}{2}$

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities

If x and y are in directly proportion, then $\frac{y}{x}=k$ , where k is the constant of proportionality.

The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>

∵ Point (4, 18) lies on the line

∴ x = 4, y = 18

∵ The equation is y = kx

→ Substitute x by 4 and y by 18

∴ 18 = k(4)

∴ 18 = 4k

→ Divide both sides by 4 to find k

∴ $\frac{18}{4}=\frac{4k}{4}$

∴ $\frac{18}{4}=k$

→ Simplify the fraction by dividing up and down by 2

∴ $\frac{9}{2}=k$

∴ The constant of proportionality is $\frac{9}{2}$

6 0

3 years ago

A cyclist in a race is moving at a speed of 18 miles per hour. Convert this speed to meters per second

Mandarinka [93]

Answer:

8.04672 meters per second.

8 0

3 years ago