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Maths Question:
The vase has a radius of 5cm,
There are 1000cm cubed of water in the vase,
Work out the depth of the water in the vase.
Give your answer to 1 decimal place.

Respuesta :

samuelonum1

Answer:

The depth is 12.7 cm

Step-by-step explanation:

Let the shape of the vase be a cylindrical shape

the volume of the cylinder is given as

let the depth be h

[tex]v= \pi r^2h[/tex]

Given

radius r= 5 cm

volume v= 1000 cm

height h= ?

Substituting the values we can find the depth(h)

[tex]1000= 3.142*5^2*h\\1000= 3.142*25*h\\\\1000= 78.55*h\\[/tex]

Dividing both sides by 78.55 we have

[tex]h= \frac{1000}{78.55} \\\h= 12.73[/tex]

to 1 dp h= 12.7 cm

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