the formula for the volume of a cylinder is v = ar
jada has a cylindrical flowerpot. the diameter of the flowerpot is 6 inches.
the volume of the pot is 170 cubic inches. to the nearest tenth of an inch,
what is the height of the flowerpot? use 3.14 for a

56.7 inches

Step-by-step explanation:

We have the diameter of the flower pot and the volume. Let's find the radius first so we can find the height. The radius is half the diameter, so we can solve for it like this:

Equation: d = 2r

Replace: 6 = 2r

Divide: 3 = r

Now, in order to find the height of the flower pot, we need to use V = rh, with r being the radius and h being the height. Plug in what you know and solve like this:

Equation: V = rh

Replace: 170 = 3h

Divide: 56.66... = h

Round: 56.66... → 56.7

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204