Answer:
244.92 square inches
Step-by-step explanation:
You just have to fill in the formula with the information they gave you.
They gave you the diameter for base circle so you divide that number in half to get the radius which is what you need for the formula represent as "r".
r=3
h=10
and you know pi is 3.14
so just plug in the numbers.
SA=2x3.14x3^2+2x3.14x3x10
SA=6.28x9+6.28x30
SA=56.52+188.4
SA=244.92
Answer:
The equation
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula
, we find that the distance between (x, y) is

and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:

Answer:
A bottle holds 24 ounces of water. It has x ounces of water in it.
What does 24 - x represent in this situation?
Answer:
= 18 cubic inches
Step-by-step explanation:
The volume of a cone is given by the formula;
V = 1/3 × base area × height
While that of cylinder is given by the formula;
Volume = Base area × height
Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.
Therefore;
The cone has three times less volume compared to the cylinder.
Thus;
Volume of the cylinder = Volume of cone × 3
= 6 In³ × 3
<u>= 18 cubic inches</u>