Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
<span>So V=(4/3) * 3.14 * 13^3 =
9198 cubic inches</span>
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the
ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
3 3/4
= 3+ 3/4
= 3+ 0.75
= 3.75
The length as a decimal is 3.75 m~
Your answer is 6 over 24 multiplied by 6 over 23.
Answer:
No not all right angles are congruent.
Step-by-step explanation:
It is hard to comprehend your question. As far as I understand:
f(x,y) = e^(-x)
Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.
That is all I understood. It would be easier to understand with a picture or some kind of visual aid.
Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

Now evaluate,

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.
Now integrate this w.r.t. y:

So,
