Answer:
π(3 in)²(10 in) -8(4/3)(1.5 in)³
Step-by-step explanation:
The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...
V = πr²h = π(3 in)²(10 in)
The volume of 8 spheres with a radius of 1.5 inches is ...
V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³
The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...
V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice
38 Is it explain step by step
Answer:
Step-by-step explanation:
41
Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is

This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:




The maximum value is 3
The function turns downward, hence the range is:

It would be 1/3 because there are three ingredients. Therefore, if he is allergic to one of everything in each category, there are 3/10 things he is allergic to.