A cone has a volume of 2,355 cubic inches and a height of 10 inches. How many inches is the diameter of the cone

Hello there,

Okay well first we right down what we already know:

 - volume of 2,355 cubic inches

 - the height is 10 inches

Now we write down the equation for the volume of a cone: V = πr²

                                     2,355 = πr²

                          2,355 / 10/3 = 706.5 = πr²

                           706.5/π = r²= 224.89

                            r = 15 inches

                           diameter = 30 inches

Hope I helped,

Amna

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.