Question

If a paint can holds 2.5 litres, whats the radius of the can if it has a height of 20 cm?

Answer 1

Hello!

2.5 litres = 1,000 * 2.5 = 2,500 cubic cm

 

volume = π * radius2 * height

  2,500 = π * r2 * 20

2,500 / 20π = r^2

(Square Root of) 2,500 / 20π = r^2

6.307  centimeters = r (Radius)

 Hope this Helps! Have A Wonderful Day! :)

Answer 2

2.5L(1000cm^3/L)=2500cm^3

V=hπr^2  

r^2=V/(hπ)

r=√(V/(hπ)), and V=2500 and h=20cm so

r=√(2500/(20π))

r=√(125/π) cm

r≈6.3cm  (to nearest tenth of a cm)