An ice cream company wants to package a pint of ice cream in a circular cylinder that is 4 inches high. A pint is 16 fluid ounces and 1 fluid ounce is 1.8 cubic inches. What does the radius of the base circle Have to be?

The radius of the base circle has to be 1.51 inches

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the ice cream package = 4 inches

Volume of the ice cream package = 1 pint = 16 fluid ounces

2. What does the radius of the base circle have to be?

Let's calculate the volume of the ice cream package, as follows:

16 fluid ounces = 16 * 1.8 inches³

Volume = 28.8 inches³

Let's recall the formula of the volume of a cylinder:

Volume = π * r² * h

Replacing with the values we have:

28.8 = 3.1416 *  r² * 4

28.8 = 12.57 r²

r² = 28.8/12.57

r² = 2.29

√ r² = √2.29

r = 1.51 inches

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