Note --> As you're writing 'zeroes' , I assume there is a typing mistake and you've given a Quadratic equation in the question

$f(x) = 2 {x}^{2} + 11x - 6 \\ \\ f(x) = (2x - 1)(x + 6) = 0$

Hence , the roots are 1/2 and -6
The graph attached confirms the same ,

Hope it helps you :)

6 0

3 years ago

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?

Tomtit [17]

First we need to find the heigh of the soda can be rearanging the volume formula, $V = pi * r^2* h$ . We can make that $h = \frac{V}{pi * r^2}$ We know that V is 36 and radius is half of the diameter, so radius is 2. $h = \frac{36}{pi * 2^2}$
$h = \frac{36}{pi * 4}$
h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is $V = pi * r^2 * \frac{h}{3}$
R is 2 again and h is 2.87
$V = pi * 2^2 * \frac{2.87}{3}$
$pi * 4 * .96$
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can

5 0

3 years ago

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