The volume of a cone is V = 1/3 pi r^2 h
h = 8
pi = 3.14
V =471.24
r = ???
d = ???
471.24 = 3.14 * 8 * r^2
471.24 = 25.12 * r^2
471.24 / 25.12 = r^2
18.76 = r^2
r = sqrt(18.76)
r = 4.312
The diameter is 2*4.312 = 4.624 in. <<<<<==== answer.
Answer:
20
Step-by-step explanation:
using the given formula:
V = 1/3(Base Area)(height)
V = 1/3 (5)(12)
V = 1/3 (60)
V = 20
A = (1/2)(8yd)(15yd) = 60 yd²
Both equations are linear, so I'll use the integrating factor method.
The first ODE

has integrating factor

In the original equation, multiply both sides by eˣ :

Observe that
d/dx [xeˣ] = eˣ + xeˣ = (x + 1) eˣ
so that the left side is the derivative of a product, namely

Integrate both sides with respect to x :


Solve for y :

Use the given initial condition to solve for C. When x = 1, y = 2, so

Then the particular solution is

The second ODE

has integrating factor

Multiply both sides of the equation by 1/(1 + x²) :

and observe that
d/dx[1/(1 + x²)] = -2x/(1 + x²)²
Then



When x = 0, y = 3, so


The answer should be (3b + 2)(3b - 2) since if you multiply those two, you will get back to original equation.
Hope this helps!