To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder:

where

is the volume

is the radius

is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:

. We also know that the radius is r cm and height is h cm, so

and

. Lets replace the values in our formula:





Next, we are going to use the formula for the area of a cylinder:

where

is the area

is the radius

is the height
We know from our previous calculation that

, so lets replace that value in our area formula:



By the commutative property of addition, we can conclude that:
d = 16.76 inches
Step-by-step explanation:
We can extend the definition of the Pythagorean theorem to 3-dimensions:

Let x = 10 in
y = 10 in
z = 9 in


the inside of quadrilateral is always 360°.So add 75°,90° and 75° and then subyaract from360°.
x+75°+75°+90°=360
×+240°=360°
x=360°-240°
x=120°
We have been given that function
is a transformation of the quadratic parent function
. We are asked to find the y-intercept of function g.
We know that the function
is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form
, where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:

The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).
Answer:
Energy used, input
Monthly bill, output
Step-by-step explanation:
the bill is affected by how much energy u use
HOPE THIS HELPS!
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