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3 years ago

Find the volume of the cylinder. 1607.7 in 3 2845.7 in 3 6430.7 in 3 401.9 in 3

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

Answer:

$\Huge\boxed{1607.7in^3}$

Step-by-step explanation:

Hello There

The volume of a cylinder can be found using this formula

$V=\pi r^2h$

where r = radius and h = height

The cylinder shown has a radius of 8 inches and a height of 8 inches

Knowing this information we plug it in into the formula

$V=\pi 8^28\\8^2=64\\64*8=512\\512\pi=1607.68$

Finally we round to the nearest tenth and get that the volume of the cylinder is 1607.7 in ^3

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Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.

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The missing coordinates of the parallelogram is (m + h, n).

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Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

Using this midpoint find the missing coordinate.

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinates and y-coordinates.

$$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

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