4 cups in a at
12 cups = 3qt
3qt =12 cups
So they are equal
Answer:
5749.3 cubic feet
Step-by-step explanation:
The volume of the storage container would be defined by the volume of the shape; a hemisphere
The volume V of a hemisphere is given as
V = 2/3 π r^3
where r is the radius of the hemisphere
Given that the diameter is 28 feet, the radius = 14 feet
hence the volume
= 2/3 * π * 14^3
= 5749.333333
To the nearest tenth
= 5749.3 cubic feet
Answer:
The answer to your question is Volume = (1/3)(x²)(x + 2)
Step-by-step explanation:
Data
length = x
height = x + 2
Volume = ?
Formula
Volume = 1/3Ab h
Process
1.- Calculate Ab
Ab = length x length
-Substitution
= (x)(x)
-Simplification
= x²
2.- Substitution
Volume = (1/3)(x²)(x + 2) or (1/3)(x³ + 2x²)

- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
- square it (4)
- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
- to find x, add 16 and square root 16 and (x+2)
- subtract 2 from positive or negative 4 (as -4^2 and 4^2 both equal 16).
- This should give you two values for x, -6 and 2.
I really hope that this helped :)