The formula S = 2πr^2 + 2πrh is used to find the surface area of a right circular cylinder. Solve this formula for h.

Step-by-step explanation:

WE NEED TO MAKE h THE SUBJECT OF THE FORMULA.

S =2πr² + 2πrh ( Taking 2πr² to the left side)

=> S – 2πr² = 2πrh

DIVIDING BOTH SIDES BY 2πr

=> h = (S– 2πr²)/2πr

HENCE, SOLVED FOR h

hope this helps :)

- "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."