A cylinder has a lateral surface area of about 80 square inches. What is the height of the cylinder if the radius is 4 inches

The height of the cylinder is 3.18 inches

Explanation:

Given that a cylinder has a lateral surface area of about 80 square inches.

The radius of the cylinder is 4 inches.

We need to determine the height of the cylinder.

Height of the cylinder:

The height of the cylinder can be determined using the formula,

where , ,

Substituting these values, we get,

Simplifying, we get,

Dividing both sides by 25.12, we get,

Thus, the height of the cylinder is 3.18 in

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