Answer:
Step-by-step explanation:
alright lets get started.
Please refer the diagram I have attached.
the runner traveled, six kilometers east.
Next, they turn to north and suppose they run x kilometers.
The starting and the ending points distance is 10 kilometers.
There will be a right triangle formed, we can find the value of x by using Pythagorean theorem.
Subtracting 36 from both sides
So, the runners travel 8 kilometers to the north. : answer
Hope it will help. :)
Answer:
V = 2000r³/3
Step-by-step explanation:
We know that the base is a circular disk, so it creates a circle on the xy plane. It would be in the form x² + y² = r². In other words x² + y² = (5r)². Let's isolate y in this equation now:
x² + y² = (5r)²,
x² + y² = 25r²,
y² = 25r² - x²,
y = √25r² - x² ---- (1)
Now remember that parallel cross sections perpendicular to the base are squares. Therefore Area = length^2. The length will then be = 2√25r² - x² --- (2). Now we can evaluate the integral from -5r to 5r, of [ 2√25r² - x² ]² dx.
As you can see, your exact solution would be, V = 2000r³/3. Hope that helps!