It's the formula of the volume of a cone with equal lengths of radius and height.
![\dfrac{1}{3}\pi r^3=V\ \ \ \ |\cdot3\\\\\pi r^3=3V\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{\pi}\to r=\sqrt[3]{\dfrac{3V}{\pi}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E3%3DV%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C%5Cpi%20r%5E3%3D3V%5C%20%5C%20%5C%20%5C%20%7C%3A%5Cpi%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B3V%7D%7B%5Cpi%7D%5Cto%20r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B%5Cpi%7D%7D)
Step-by-step explanation:
The slope of the equation tangent to y = f(x) at x = 4 is equal to f'(4). Therefore,

We also know that the line passes through the tangent point at (4, -1) so we can write the slope-intercept form of the equation as
or

so our equation is

or in standard form,

(x + 2) (x + 20) is the answer.
Answer:
B
Step-by-step explanation:
First find the circumference of the circle with radius of 9 inches:

The full angle has 360°, so, to find the length of the arc DE, you can write:

which yields a proportion:

Answer:
11
Step-by-step explanation:
3 +
÷ 2 * 4
work for the root first
3 +
÷ 2 * 4
3 + 4 ÷ 2 * 4
now divide 4 by 2
3 + 2 * 4
then do multiplication
3 + 8
11