Answer:
Volume of sphere =
Step-by-step explanation:
We are given that
Radius of sphere=Radius of cylinder=r
Height of sphere=Height of cylinder=h
Height of sphere=h=Diameter of sphere=2r
Volume of cylinder=
Volume of cylinder=
Using the formula
Volume of cylinder=
Volume of sphere=
Using the formula
Volume of sphere=
Hence, the volume of sphere =
Answer:
circumcenter
Step-by-step explanation:
Suppose the three food trucks points a,b,c are joined together in such a way that the form a triangle. The perpendicular bisectors of the triangle are concurrent . The point of concurrency is called <u>circumcenter.</u>
According to the circumcenter theorem the points ( vertices of the triangle a,b,c) are equidistant from the center D ( point of concurrency) called the circumcenter.
As the food distributor is equidistant from each of the trucks it lies at the circumcenter point of concurrency.
The drawing is just a generalizations to give an idea. It does not show actual bisectors perpendicular.
Answer:
{A and B are independent events}, P(A|B)=P(A)=0.16
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, P(A|B)=P(A) that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is P(A|B)=P(A)=0.16.. Rest are not in accordance with the definition of independent events.
Answer:
k = 6.
Step-by-step explanation:
k = 6
2k = 12
12 - 6 - 3 = 3
k = 1
2k = 2
2 - 6 - 3 = -7
So, the answer is k = 6 because it makes more sense.
Answer:
105 and 106
Step-by-step explanation:
The consecutive pages are such that the difference between the numbers of these pages is 1. As such, if the number on the first of the two pages is x, the second will be x + 1.
Hence, given that the sum of the numbers two pages is 211,
x + x + 1 = 211
2x = 210
x = 105, the next
= 105 + 1
= 106