A cone-shaped paper cup is 2.5 inches high and has a radius of 1.5 inches. What is its volume to the nearest hundredth?
1 answer:
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Answer:
The question is incomplete without options. But I was able to add the table of x and y in the solution
Step-by-step explanation:
From the solution and the equation, you should be able to pick the right answers from the statement options given.
Step 1
<u>Find the slope of the function f(x)</u>
we know that
The formula to calculate the slope between two points is equal to
Let
substitute
Step 2
<u>Find the y-intercept of the function f(x)</u>
The y-intercept is the value of the function when the value of x is equal to zero
in this problem the y-intercept of the function is the point
so
the y-intercept is equal to
Step 3
Verify each case
we know that
the equation of the line into slope-intercept form is equal to
where
m is the slope
b is the y-intercept
<u>case A) </u>
In this case we have
therefore
the function of case A) does not have the same slope as the function f(x)
<u>case B) </u>
In this case we have
therefore
the function of case B) does not have the same slope and y-intercept as the function f(x)
<u>case C) </u>
In this case we have
therefore
the function of case C) does have the same slope and y-intercept as the function f(x)
<u>case D) </u>
In this case we have
therefore
the function of case D) does not have the same y-intercept as the function f(x)
therefore
<u>the answer is</u>