+0  
 
0
833
2
avatar

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

Guest Apr 22, 2015

Best Answer 

 #1
avatar+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: 

2+0 Answers

 #1
avatar+26329 
+13
Best Answer

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
avatar+4663 
+5

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

 

Nice Alan!

MathsGod1  Apr 22, 2015

7 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details