Answer:
The radius of the cup is
and
the height of the cup is 
Step-by-step explanation:
we know that
The volume of the cylinder is equal to

Let
x-----> the height and the diameter of the cylinder
we have




substitute the values

simplify


therefore
The radius of the cup is

The height of the cup is

So for this triangle you are going to use Cos, which is adjacent/hypotenuse.
In this case x is your hypotenuse.
So your equation is going to be Cos(49)= 14/x.
So in order to get x, you are going to have to multiply x by each side. So:
x • Cos(49)= 14/x • x.
Multiplying x and x is going to cancel each other out so your new equation is going to be:
xCos(49)=14.
Now we are going to divide each side by Cos(49). Dividing Cos(49) by itself, will cancel itself out, so then your new equation will be:
x = 14/Cos(49)
Now you are going to put that into your calculator and your answer will be
x = 9.18.
If i’m wrong please tell me and correct me.
Here is a photo of you don’t understand.
Answer: 52 and 793.25
Step-by-step explanation:
Just count the number of squares:
(9+5)*2=14*2=28