A cylindrical aluminum can contains 330ml of cola, if the can's diameter is 6cm what is the can's height?

Question

A cylindrical aluminium can contain 330ml of cola, if the can's diameter is 6cm what is the can's height?

& if the can height was 10cm what is it's diameter?

Answer 1

What is the formula for the volume of a cylinder?  

 

V=πr²h

V = 330 ml = 330 cm³

r = 6 cm/2 = 3 cm

h = ?

h = V/πr² = (330 cm3)/(3.14)(3)² = 11.7 cm

 

If h = 10 cm, what is diameter?

330 cm3 = (3.14)(r2)(10 cm)

r2 = 10.5

r = 3.2 cm

diameter = 6.4 cm