A cylindrical cake tin has a diameter of 20 cm.
200 mL of water is poured into the cake tin.
What is the depth of the water in millimetres
to 1 decimal place?

Respuesta :

Answer: [tex]depth = 0.6[/tex]

Step-by-step explanation:

Let's use the volume of a  cylinder equation to find the depth(aka the height of the cake tin)

The equation : [tex]V = \pi r^2d[/tex] and we are solving for [tex]d[/tex] = depth

V represents volume in millimeters, r represents the radius(be careful, the problem gives us the diameter so you must divide by 2)

Let's plug in our given values and isolate to solve for depth:

[tex]200ml = \pi (\frac{20}{2} )}^2*d[/tex]

[tex]d = 200ml/\p(100\pi )[/tex]

depth ≅ 0.6366

Problem asks us to round to 1 decimal:

depth ≈ 0.6

That's it!

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