Question

A ball of diameter 20 cm fits exactly inside a cylindrical container, as shown below.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_Seg_Two_Practice_Exam_01/image0344e9da061.jpg
The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3.

[π=3.14]

Answer 1

you know the cylinder also has a diameter of 20 cm.

It also has a height of 20 cm, which you know because the diameter of the sphere is 20.

v = pi r^2 h = pi (2/2)^2 (20) = 2000pi

Does this help?

Answer 2

yes much! thanks =)