100 POINTS PLEAS please help
2 answers:
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Please consider the graph of the sphere.
We know that the volume of sphere is equal to , where r represents radius of sphere.
We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is inches.
Therefore, the volume of the given sphere is and option B is the correct choice.
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
and 
to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
We can conclude that the correct answer is the fourth one.