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Answer:</h3>
The radius would be <em>3.5 units</em>.
Step-by-step explanation:
This is because a radius is always half of a diameter.
By using that,
7 ÷ 2 = 3.5 units
Since there was no measurement listed in the question, the answer would be in "units."
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:


4 cubic squares is the answer
Answer: See the picture attached.
Step-by-step explanation:
Given the following mixed numbers:

You need to convert them to decimal numbers. The steps to do this are shown below:
1. Divide the numerator of the fraction by the denominator.
2. Add the quotient obtained to the whole number part.
Then:

Therefore, the point is:

Where
is the x-coordinate and
is the y-coordinate.
Knowing this, you can plot it on the coordinate plane, as you can see in the picture attached.
There are 49 gallons of red paint.
I figured it out by doing the following:

If you subtract the gallons of pink paint (21) from the total number of gallons (70), then you get the number of gallons of red paint (49) because 49 + 21 = 70. I hope that helps :)