Answer:
.
(Expand to obtain an equivalent expression for the sphere: )
Step-by-step explanation:
Apply the Pythagorean Theorem to find the distance between these two endpoints:
.
Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:
.
In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between and would be:
.
In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:
.
The equation for a sphere of radius and center would be:
.
In this case, the equation would be:
.
Simplify to obtain:
.
Expand the squares and simplify to obtain:
.
Answer:
It snowed for 6 days in November
Step-by-step explanation:
Since there are 30 days in November
and 20 goes into 100 five times,
30/5=6, so in november snow fell for 6 days
Answer:
$4167
Step-by-step explanation:
Original Amount: $4167 (rounded)
First Year: $4167 + $416.7 = $4583.7
Second Year $4583.7 + $416.7 = 5000.4
The volume of a cylinder is Pi times the radius^2 times the height
Volume = Pi x 6^2 x 2
Volume = 226.2
95% * x = 95
95/100 * x = 95
0,95 * x = 95
0,95x = 95 / : 0,95
x = 100