The cross-section of a sphere is a circle . The area of a circle can be calculated by the formula A= Where r is the radius of the circle.
Given :
Solving for r we have:
Or r= 10.
The area of a sphere is calculated by the formula :
Substituting r value we have:
SA=
The total surface area of this sphere is 400π .
Tossing a coin is a binomial experiment.
Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.
All of these trials are independent since the result of one trial does not affect the result of the next trial.
Now, for 'n' repeated trials the total number of successes is given by
where 'r' denotes the number of successful results.
In our case and
,
Substituting the values we get,
Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.