The graph of the quadratic function h is shown on the grid. The coordinates of the x- intercepts, y- intercept, and the vertex are all integers. What is the maximum value of h?: (Take your time)

The graph of the quadratic function h is shown on the grid. The coordinates of the x- intercepts, y

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brandon1748

13.08.2020

Mathematics

First, lets start with the formula for the volume of a cone

$\frac{1}{3} (\pi \times {r}^{2})h$

Then lets find the diameter so we can get the radius...

Since we have circumference, all we need to do is use this formula-

$c \div \pi$

C being circumference, the PI being the 3.14, we plug it in to the formula as the number we have to get the diameter...

${75.36} \div 3.14$

And it comes out to...

24.

Now we need to divide it by two to get the radius, and we come up with 12.

Now that we have our radius, we can finally plug in all of the numbers into our original formula...

$\frac{1}{3} (3.14 \times \: {12}^{2} ) \times 18$

The answer of the entire problem turns out to be... Drum roll please...

2712.96 cubic centimeters.

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