Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A)
we have the formula of the volume of a cylinder

Solve for h
That means ----> isolate the variable h
Divide both side by πr²

Simplify

Rewrite

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm
we have


substitute in the formula and solve for h


Let , side lawn is a.
Area of boundary is :

Now, total cost is given by :

Area left is :

Price to empty space with turfs is :

Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.
Hence, this is the required solution.
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that
is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be
the of 1 million!
We do the calculation shown below:

So, 2000 players will complete the game with a perfect score.
Each side of the model of 413s is rectangular shaped.
So, by this statement we got to know that the model is in cuboid shape.
Hence, its volume will be (length×width×height) cubic feet.
The answer is alternate interior angles theorem and substitution property of equality.