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# A paint can holds 2.5litres of paint and is 18cms tall. Work out the radius

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A paint can holds 2.5litres of paint and is 18cms tall. Work out the radius

Guest Apr 22, 2015

#1
+26329
+13

A litre is 1000 cm3

Volume = pi*r2*h  where r is radius and h is height, so

pi*r2*18 = 2500  (we have to turn the litres into cm3)

Divide both sides by 18pi

r2 = 2500/(18pi)

Take the square root of both sides

r = 50/√(18pi)

$${\mathtt{r}} = {\frac{{\mathtt{50}}}{{\sqrt{{\mathtt{18}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}}}} \Rightarrow {\mathtt{r}} = {\mathtt{6.649\: \!038\: \!006\: \!690\: \!545\: \!1}}$$

So the radius is approximately 6.65cm

.

Alan  Apr 22, 2015
Sort:

#1
+26329
+13

A litre is 1000 cm3

Volume = pi*r2*h  where r is radius and h is height, so

pi*r2*18 = 2500  (we have to turn the litres into cm3)

Divide both sides by 18pi

r2 = 2500/(18pi)

Take the square root of both sides

r = 50/√(18pi)

$${\mathtt{r}} = {\frac{{\mathtt{50}}}{{\sqrt{{\mathtt{18}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}}}} \Rightarrow {\mathtt{r}} = {\mathtt{6.649\: \!038\: \!006\: \!690\: \!545\: \!1}}$$

So the radius is approximately 6.65cm

.

Alan  Apr 22, 2015
#2
+4663
+5

I didn't even know there was an answer to this. o.O

Nice Alan!

MathsGod1  Apr 22, 2015

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