four spheres of radius 6cm just fit inside a cylinder calculate the volume inside the cylinder that is empty leave your answers
2 answers:
Answer:
The volume inside the cylinder is .
Step-by-step explanation:
Given : Four spheres of radius 6 cm just fit inside a cylinder.
To find : Calculate the volume inside the cylinder that is empty ?
Solution :
The volume of the cylinder is volume of 4 spheres.
The volume of sphere is
The radius is 6 cm.
The volume of four spheres is
Therefore, the volume inside the cylinder is .
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Answer:
C. If the probability of an event occurring is 1.5, then it is certain that the event will occur.
Step-by-step explanation:
Probability is a value between <em>0 and 1</em> (including both values). Thus, to say that there is a probability of 1.5 is not correct, and, therefore, this statement is not true.
We can rewrite the statement as "If the probability of an event occurring is 1, then it is completely certain that the event will occur."
Statement A.
Suppose the event is A. Then, if P(A) = 0, it is completely certain that the event will not occur. It is true.
Statement B.
. Then, the statement is true.
Statement C.
We already explained the <em>statement C is not true</em> because the values for probabilities are between 0 and 1 (including both values). A probability of 1.5 is meaningless as a result.
Statement D.
For the same reason explained in C, the probability can never be a negative value. So, this statement is also true.
Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
