Consider the cylinder with a volume of 132π cm3. what is the volume of a cone with the same radius and height as the cylinder?

The volume of a cone is 44π cm³.

Step-by-step explanation:

It is given that the volume of the cylinder is 132π cm³.

The volume of cylinder is

The volume of cone is

Where, h is height and r is radius.

It means if the radius and height of cone and cylinder are same, then the volume of cone is one third of volume of cylinder.

The volume fo cylinder is 132π cm³. So, the volume of cone is

Therefore the volume of a cone is 44π cm³.

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."