Mathematics
14.10.2022 13:12
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What is the simplified form of the expression 5d^6 x d^-12

What is the simplified form of the expression 5d^6 x d^-12
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Kianaxo
Kianaxo
4,4(41 marks)

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

or

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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