What is the area of the shaded part of the figure?

A cone and 2 cylinders are shown below. The volume of the cone is 15 cubic centimeters. Each of the 2 cylinder has the same heig

shutvik [7]

Answer:

90 $cm^{3}$

Step-by-step explanation:

Given:

The volume of a cylinder =15 $cm^{3}$

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder

Formula:

Volume of a cone = $\pi r^{2}h/3$

Volume of a cylinder = $\pi r^{2}h$

To find: Combined volume of both cylinders.

The volume of a cylinder =15 $cm^{3}$

$\pi r^{2}h/3$ =15 $cm^{3}$

$\pi r^{2}h$ =15 * 3 $cm^{3}$

$\pi r^{2}h$ =45 $cm^{3}$

[As

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder]

$\pi r^{2}h$ =45 $cm^{3}$ is the volume of one cylinder.

Combined volume of cylinder = 2* Volume of cylinder = 2*45 =90 $cm^{3}$

7 0

3 years ago

Based on a study of the nations of the world, a researcher finds that wealthier nations generally have a greater percentage of t

ehidna [41]

Answer:

Answer explained below

Step-by-step explanation:

There is a difference between the two terms correlation and causation. Correlation does not always imply the causation, but causation always implies the correlation.

The correlation is only the statistical or numerical relationship between two variables even they are related or not, but the causation is the relationship between the two variables.

Causation indicates that the result of one variable is the result of the other variable.

For the given scenario, a researcher finds that wealthier nations generally have a greater percentage of the population employed in the public sector. There is a causal relationship exists between the percentage of the population employed in the public sector and wealth of the nation. If the nation is wealthier, then it causes an increment in the employees of the public sector.

The wealth of the nation is the cause for a greater percentage of the population employed in the public sector. If the wealth of nation will increase, the number of employees in the public sector will increase. If the wealth of the nation will decrease, the number of employees in the public sector will also decrease.

There is a positive relationship or association or you can say that there is a positive correlation exists between the two variable ‘wealth’ of a nation and percentage of ‘employees’ in the public sector.

7 0

3 years ago

Evaluate u’ – 4u + 3 for u

KIM [24]

You can replace u with -3 since u = -3. You should get something like this: -3 - 4(-3) + 3. This can be turned into -3 + 12 + 3, and subtracting negative numbers are the same as adding the positive version. -3 plus 12 is 9, and 9 plus 3 is 12. The final answer is 12. Hope this helps!

6 0

3 years ago

"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from

Olenka [21]

Answer:

vr = $540$