Mathematics: Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.

Which system of equations is equivalent to the following

aidanfbussiness

17.05.2023

Volume of cylinder(V) is given by:

$V = \pi r^2h$ ....[1]

where, r is the radius of the cylinder and h is the height of the cylinder

From the diagram:

Diameter of a pipe (d) = 10 cm

height of the pipe(h) = 2m

Use conversion:

1 m = 100 cm

then

2m = 200 cm

⇒h = 200 cm

Since, a pipe is in the form of cylinder.

We have to find the volume of a pipe.

We know that:

d = 2r

⇒ 10 = 2r

Divide both sides by 2 we get;

5 = r

r = 5 cm

Substitute the given values and use π = 3.14. in [1] we have;

$V = 3.14 \cdot 5^2 \cdot 200$

Simplify:

V = 15,700 cm^3

Therefore, the volume of a pipe in cm³ is, 15700

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