A cylinder has a volume 45pi and radius 3. What is it’s height?

the answer is 15

Step-by-step explanation:

Given data:

Volume V = 45 π and radius  

r = 3 units The formula for the volume of the cylinder is  V = B · H

Base of the cylinder is:

B = r² π = 3² π = 9 πFrom the formula  V = B · H we get H:H = V / B = 45 π / 9 π = 5 units

H = 5 units

The height is 5

Step-by-step explanation:

Given data:

Volume V = 45 π and radius  r = 3 units

The formula for the volume of the cylinder is  V = B · H

Base of the cylinder is:

B = r² π = 3² π = 9 π

From the formula  V = B · H we get H:

H = V / B = 45 π / 9 π = 5 units

H = 5 units

- "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."

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a