You have to move variables on one side and constants on the other
aby - b + b = c + b
aby = c + b
y = (c + b)/ab
Commutative property.
Sense nothing really changed and they just moved.
The rate at which the sand is leaking, is the same rate at which the volume of the cone is increasing, so the rate of the sand leak is then the same as dv/dt of the cone.
now, we know the height is always the same length as the radius, thus h = r.
Answer:
1300π
Step-by-step explanation:
The volume of a cylinder is
V = Area of base * height
The base is a circle, so its area is
A = πr^2
The radius is half the diameter: 20/2 = 10 ft.
A = π10^2 = 100π
Plug this back into the volume formula:
V = 100π * height
= 100π * 13
<u>= 1300π ft</u>
You figured it out correctly, good job!
Nevertheless, let me answer the question, so that the homepage is clean and someone else might need some explanation.
We want to compute
We can break the root of a product into the product of the roots:
The square root of -1000 is -10, because
As for the exponents of the variables, taking the n-th root means to divide the exponent by n. So, in our case, we have to divide the exponents by 3:
So, the final answer is