A mug has a diameter of 7 centimeters and a height of 12 centimeters. Which of the following is the closest to the volume of the mug?
A.
462 cubic centimeters
B.
1,846 cubic centimeters
C.
791 cubic centimeters
D.
1,583 cubic centimeters

500 cube centipede

Step-by-step explanation:

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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