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75 in³

x:   30

y:  20    35

Step-by-step explanation:

v = πr²h / 3

v = 3.14 * 3² * 8 / 3

v = 3.14 * 9 * 8 / 3

v = 75.36 in³

Rounded

v = 75  in³

x increase by 10 for each step

y increases by 7.5 for each step

x:   0    10      20    30     40

y:   5    12.5   20   27.5   35

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