The volume of a sphere is 32
3
π cubic centimeters. What is the radius?

Sphere V = 4
3
πr3

1. Substitute 32
3
into the volume formula for V: 32
3
π = 4
3
πr3

2. Multiply both sides of the equation by 3
4
: 8π = πr3

3. Divide both sides of the equation by π. 8 = r3

4. Take the cube root of both sides: 3√8 = r

The radius of the sphere is
cm.

What are the relative frequencies to the nearest hundredth of the columns of the two-way table? a b group 1 102 34 group 2 18 14

Find the smallest number by which the given number should be divided to make a perfect cube(with steps or the answer will get reported) a.108 b.2187

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.