Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
which would be 12.65148998... in.
Using the binomial distribution, it is found that there is a 0.25 = 25% probability he will land on A on the first spin and A and the second.
For each spin, there are only two possible outcomes, either it lands on Sector A, or it does not. The results of each spin are independent, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
In this problem, we have that:
The probability that both land on A is P(X = 2), hence:
0.25 = 25% probability he will land on A on the first spin and A and the second.
You can learn more about the binomial distribution at brainly.com/question/24863377