Question

a can of soup contains about 553 cubic centimeters of soup. the height of the van is 11 centimeters. what is the approximate diameter of the can to the nearest centimeter?

Answer 1

Assume that the can of soup has a cylinder shape with the volume of 553 cubic centimeter

V of cylinder = Area of base circle * height of the can
Area of a circle = pi*r^2

V = pi*r^2*11==> pi*r^2*11 = 553
==> r^2 = 553/11*pi
==>r^2 = 16
==>r = 4 cm for the radius, diameter = 2r = 8 cm