65,632.25 in expanded form is : 60,000 + 5,000 + 600 + 30 + 5 + .2 + .05
Answer:

Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to

we have
---> the radius is half the diameter

substitute

step 2
Find the volume of the cone
The volume of the cone is equal to

we have
we have
---> the radius is the same that the radius of the cylinder

substitute

step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so

assume


Answer:
-21
Step-by-step explanation:
1-2+4-8+16-32
=-21
Answer:
when they are intersecting at a 90 degree angle.
Step-by-step explanation:
when lines intersect, they just cross over one another at any point. but with perpendicular lines, they have to be at a right angle. an example of this is a square. all of its corners are perpendicular
Answer:
<em>The surface area of the sphere is 314 mi².</em>
Step-by-step explanation:
According to the given diagram, the diameter of the sphere is 10 mi.
If the radius is
, then diameter 
So....

<u>Formula for the surface area of a sphere</u>: 
Plugging the value of
into this formula, we will get...
![A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314](https://tex.z-dn.net/?f=A_%7BS%7D%3D4%5Cpi%285%29%5E2%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%5Cpi%2825%29%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%283.14%29%2825%29%5C%20%5C%20%5BUsing%5C%20%5Cpi%3D3.14%5D%5C%5C%20%5C%5C%20A_%7BS%7D%3D314)
So, the surface area of the sphere is 314 mi².