A cylindrical tank has a diameter of 2.5 feet and a height of 4.8 feet. what is the lateral surface area of the tank to the nearest hundredth square foot?

This is approximately to the nearest hundredth

Step-by-step explanation:

First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.

In this case, the circumference of the circular base can be obtained by the formula

Hence we will have the circumference as

Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )

by the height (4.8 feet)

7.85 X 4.8 =

This is approximately to the nearest hundredth

the answer is 24

step-by-step explanation:

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