According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

$V \propto h$

$V = k\cdot h$ (1)

Where:

$V$ - Volume of the cylinder, in cubic feet.

$h$ - Height of the cylinder, in feet.

$k$ - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

$k = \pi \cdot R^{2}$ (2)

Where $R$ is the radius of the cylinder, in feet.

If we know that $h = 9\,ft$ and $V = 28.26\,ft^{2}$ , then the radius of the cylinder is:

$k = \frac{V}{h}$

$k = 3.14$

$R = \sqrt{\frac{k}{\pi} }$

$R \approx 1\,ft$

The radius of these cylinders is approximately 1 foot.

3 0

3 years ago

Find the horizontal or oblique asymptote of f(x) = negative 3 x squared plus 7 x plus 1, all over x minus 2

leonid [27]

When you perform the indicated division, you get
$\dfrac{-3x^2+7x+1}{x-2}=-3x+1+\dfrac{3}{x-2}$

The "quotient" part of this result is the oblique asymptote:
y = -3x +1

3 0

3 years ago

Want is the answer to 5/8-1/2

Degger [83]

5/8-1/2
Find a common denominator (8)
5/8-4/8
Your answer is 1/8

4 0

4 years ago

Read 2 more answers