Esmeralda has 2 cylinders of equal height but different radii. The smaller cylinder has a radius of 1/2x units, and the larger cylinder has a radius of x units. If the volume of the larger cylinder is approximately 120 cubic units, what is the volume of the smaller cylinder? Thanks for the help!
+128707 The volume of the smaller cylinder will be (1/4) as much = 30 units^3....to see why....
The volume of the larger cylinder is given by
V = pi * (x)^2 * h where x is the radius
The volume of the smaller cylinder is given by
V = pi * [ (1/2) x ]^2 * h = pi * (1/4)x^2 * h = (1 /4) * pi * x^2 * h
And this is (1/4) the volume of the larger cylinder
+128707 The volume of the smaller cylinder will be (1/4) as much = 30 units^3....to see why....
The volume of the larger cylinder is given by
V = pi * (x)^2 * h where x is the radius
The volume of the smaller cylinder is given by
V = pi * [ (1/2) x ]^2 * h = pi * (1/4)x^2 * h = (1 /4) * pi * x^2 * h
And this is (1/4) the volume of the larger cylinder
