To solve this problem, we have to understand and establish some basic mathematical facts on a cone.
The answer to this question are option b and c only.
<h3>Cone</h3>
This is a solid figure that has the base of a circle and the top is made up round triangle.
The formula of volume of a cone is given as
![v = \frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
where;
In the given question, the first fact given is if the radius doubles the diameter and that false.
![diameter = 2 * radius](https://tex.z-dn.net/?f=diameter%20%3D%202%20%2A%20radius)
If we have the value of the the radius, we can calculated the base area using area of a circle
![area = \pi r^2](https://tex.z-dn.net/?f=area%20%3D%20%5Cpi%20r%5E2)
The volume of a cone is actually one-third the volume of a cylinder
we can only calculate the volume of the cone is we have the value of the height of the cone.
The answer to this question are option b and c only.
Learn more on volume of a cone here;
brainly.com/question/12004994
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Start with the lowest prime number: 2
is 84 divisible by 2? Yes
so. 84/2 = 42
Check if it still divisible by 2,
yes, 42/2 = 21
check if it is still divisible by 2,
no, move to next prime number = 3.
check if it is divisible by 3
yes, 21/3 = 7.
now since, 7 is a prime number, we stop.
and the prime factors of 84 are : 2,2, 3, 7
4 prime factors, 3 distinct.
It is TRUE that a corollary is a statement that can be easily proved using a theorem.
From the table, we observe that the domain of the function is {Mon, Tues, Wed, Thurs, Fri} and the range is {1, 2, 3, 4, 0}
So, S(Mon) = 1
S(Tues) = 2
S(Wed) = 3
S(Thurs) = 4
S(Fri) = 0
Hence, ![S^{- 1}(0) = Friday](https://tex.z-dn.net/?f=S%5E%7B-%201%7D%280%29%20%3D%20Friday)