A.) v = πr^2h
v = π (20^2) * 50
v = π (400*50)
v = 20,000π
B.) v = πr^2h
v = π (4^2) * 10
v = π (16*10)
v = 160π
C.) 20,000π ÷ 160π = 125π
So, it can fill 125 mugs.
Well, notice the picture below
recall cosine is adjacent over hypotenuse
what's the hypotenuse? well, you can just use the pythagorean theorem to get "c" or hypotenuse
<h2>
Explanation:</h2>
As I understand, you need to know the relationship between the area of similar figures. Two shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling, so this means we can make one shape bigger or smaller.
From math, if we call
the scaling factor, then the area of one figure (
) divided by the area of another similar figure (
) will be equal to the scaling factor squared. In other words:

Given:
Amy spent $90 at the store.
She spent
of her money on food,
of her money on school supplies, and
of her money on soda.
To find:
How much did she spend on school supplies?
Solution:
According to the given information, Amy spend
of her money on school supplies.
Amy spent $90 at the store. So,
Money spend on school supplies = 
= 
Therefore, Amy spend $15 on school supplies.