If the cone has the same width with the cup, the height of the cone will be 6 inches.
<h3>How to find the volume of cylinder and cone?</h3>
The cup is cylindrical.
Therefore,
volume of the cup = πr²h
where
Hence,
volume of the cup = π × 1.5² × 2 = 4.5π
If the cone has the same width of the cup, the height of the cone can be calculated as follows;
4.5π = 1 /3 πr²h
4.5π = 1 / 3 × π × 1.5² × h
4.5π = 0.75πh
h = 4.5π / 0.75π
h = 6 inches
learn more on volume here: brainly.com/question/22996610
#SPJ1
Answer: y ≥ (3/5)*x - 3
Step-by-step explanation:
In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)
First, let's find the equation for this line:
y = a*x + b
the value of a is the slope and is equal to:
a = (0 - (-3))/(5 -0) = 3/5
and the value of b is the point where the line intersects the y-axis, in this case, b = -3
then our line is
y = (3/5)*x - 3
As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.
y ≥ (3/5)*x - 3
Answer: 7
Step-by-step explanation: Cross multiply, so 15 times x and 21 times 5. 21 times 5 is 105 then you divide by 15 which gives you 7.
Answer: the slope would be -4/3 and the y intercept is 2
Step-by-step explanation: you would have to divide both sides by 3 to get y by itself. that leaves you with -4/3x + 2
