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:
Answer:
4
Step-by-step explanation:
there is no quantity for g and 4 is all that is left
Answer:
The answer is 
Step-by-step explanation:
Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

Differentiating wrt r we have:

We are told that
and we want to find 
By the chain rule we have:

∴
∴
When D=10 then

The sign (-) shows that the D is decreasing.
The total amount of money Kylie spent to go to talent camp is 115.
76.5 *10 =765 (Amount of money she deposited in 10 months)
30.5 *10 = 305 (Amount of money she used to pay for singing lessons in 10 months)
765 - 305 = 460 (Amount remaining after singing lessons for 10 months)
460/4 = 115 (Amount she used to go to a talent camp)