Answer:
Step-by-step explanation:
Given
Represent the height of the smaller cylinder with h and its radius with r.
The height (H) of the larger cylinder is
And the radius (R) is;
Required
Determine the volume of the larger cylinder
Volume of the smaller cylinder is:
Substitute 16 for V1
While the volume of the larger cylinder is:
We have that:
and
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Simplify both expressions
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Substitute values for R and H in
Collect Like Terms
Recall that:
<em>Hence, the volume of the larger cylinder is 37.5</em>
Answer:
Frrr its always math -_-
Step-by-step explanation:
The equation given is
where a is some number.
We can solve for x by taking the square root of both sides.
Now let's think through what happens for various values of a.
TWO SOLUTIONS
If a is a positive number the above yields two solutions. Take for example:
There will be two solutions (one positive and one negative) as there are two numbers (here -7 and +7) that when multiplied by themselves give 49. That is,
and
. The positive root is called the principal root and the negative root is called the secondary root. This will be the case anytime we take the root of a positive number.
ONE SOLUTION
If a = 0 there is only one solution. That is because
and
. Zero is neither positive nor negative and it has only one root which is 0 itself. So in this case there is only one solution and it is 0.
NO (REAL) SOLUTIONS
If a is negative we would be taking the square root of a negative number. There is no (real) number that when multiplied by itself gives a negative number. Take for example
which gives us
. The square root of -49 is not 7 because (7)(7)=49 which is positive. The square root of -49 is not -7 because (-7)(-7)=49 which is also positive. There is no real number that gives -49 when multiplied by itself. I say "real" numbers because there do exist imaginary/complex numbers but because of the way the questions was asked I imagine you may not know about these yet.
Answer(x-8)/4
Step-by-step explanation:
