Let x represent radius of circle.
We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be
.
Now we will use volume of cylinder formula to our given problem.
, where,
r = Radius of base of cylinder,
h = Height of cylinder.
Upon substituting our given values, we will get:


Therefore, our required volume expression would be
.
Answer:
(x +2) (x-6)
Step-by-step explanation:
x^2 -6x + 2x + 12 =
x^2 -4x + 12
The exponential function that describes the graph is 
The standard form of an exponential function is expressed as 
a is the y-intercept
(x, y) is the point on the graph
Given the following expression
a = 7
(x, y) = (4, 112)
Substitute the given values into the exponential equation
![y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex%5C%5C112%3D7%5Ccdot%20b%5E4%5C%5Cb%5E4%20%3D%20%5Cfrac%7B112%7D%7B7%7D%5C%5Cb%5E4%3D%2016%5C%5Cb%20%3D%5Csqrt%5B4%5D%7B16%7D%5C%5Cb%20%3D%202)
Get the required exponential equation
Recall that
, hence the required equation will be 
Learn more here: brainly.com/question/19245707
We have two rectangles such as:
Rectangle 1 = X
Rectangle 2 = Y
Where the ratio of the two is:
Ratio = X / Y = 3/4
If x length is 10, we can solve for y length such as:
10 /Y length =3/4
Y length = 40/3 = 13.33
If x width is 5, then we can solve for y width such as:
5/y width = 3/4
y width = 20/3 = 6.67
The Perimeter of Pan Y is shown below:
Y perimeter = 2(6.67) + 2(13.33)
Y perimeter = 40
The answer is 40 inches.