Aballoon is the shape of a pencil is shown below. the pencil is made up of a cone and a cylinder. what is the volume, in cubic inches of the pencil balloon

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone plus the volume of the cylinder

Find the volume of the cone

The volume of the cone is equal to

we have

substitute

Find the volume of the cylinder

The volume of the cylinder is equal to

we have

substitute

Find the area of the figure

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

- "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."