Answer:
2.39 feet
Step-by-step explanation:
we know that
The volume of a cylinder is equal to

where
r is the radius of the base of the cylinder
h is the height of the cylinder
we have



substitute

Solve for h



Answer:
8 cm
Step-by-step explanation:
Ok lets on the biggest square we have 17 cm
17cm is the hypotenuse for the right triangle
The second largest's area is 225 cm^2
Sq root of 225 cm^2, is 15
To find x, lets plug the info we have to the pythagorean theorom

The side length of the smallest Square is 8 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
You've completed 11/12 of your project
Only 1/12 left to go!
Step-by-step explanation:
2/3 + 1/4 = 11/12
So,
Since this is independent probability, the probability of the event above occurring is:

First, the probability of landing on heads.

Now, the probability of rolling an even number.
<u />

Plug it into the equation.

The correct option is C.
Answer:
The volume of the ball with the drilled hole is:

Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

Then we set the integral for the volume by using shell method:

That can be solved by substitution:

The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

Then applying the basic rule we get:

Since that is just half of the solid, we multiply by 2 to get the complete volume:

