Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A)
we have the formula of the volume of a cylinder
Solve for h
That means ----> isolate the variable h
Divide both side by πr²
Simplify
Rewrite
Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm
we have
substitute in the formula and solve for h
Answer: f(x) = -3x + 4
Step-by-step explanation:
The function is represented by
9x + 3y= 12
This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes
9x + 3y= 12
Subtracting 9x from both sides,
9x -9x + 3y = 12 - 9x
3y = 12-9x
Dividing the lefthand side and right hand side of the equation by 3, it becomes
3y/3 = (12-9x)/3
y= -3x + 4
using function notation,
y = f(x) = -3x + 4
Answer:
V = 23π/6
Step-by-step explanation:
V = 2π ∫ [a to b] (r * h) dx
y = −x² + 23x − 132
y = −(x² − 23x + 132)
y = −(x − 11) (x − 12)
Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12
r = x
h = −x² + 23x − 132
V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx
V = 23π/6
Answer:
i think 14
Step-by-step explanation:
