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


<span>This intersection produces a line. However, if the angle of the plane is less than the cone's angle, then the intersection produces a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane intersects at some point other than the vertex, then the intersection is a circle if the plane is perpendicular to the cone's axis. It is an ellipse when the plane's angle is less than the cone's angle. It's a parabola when the planes's angle equals the cone's angle.</span>
Add 8π to both sides of the equation to get:


We have found that x = 9π. Remember that in solving problems like these with pi that it can often be helpful to treat pi as a variable.
This question is based on least common multiple method.
As given in the question,
Aunts are taking pictures in group of = 5
Uncles are taking pictures in group of = 10
So we have been asked what is the minimum number of aunts Sana have.
As we have been given that the number of aunts and uncles is equal so to find the minimum number of aunts we will apply the least common multiple method.
So we get LCM of 5,10 as 10
Hence there are minimum 10 aunts.
Answer: Annabelle is using the a measure of central tendency defined as the Mode.
Step-by-step explanation: A measure of central tendency in its simplest definition is a single value or measure that can safely be used to represent all members belonging to an entire set of given data. Hence, as a good illustration, one figure can be used to confidently represent all other ninety nine figures where a set of one hundred figures were given.
The mean, median and mode are commonly accepted measures of central tendency.
The mode is the most frequently occurring value in a given set of data. As such, the modal value is statistically acceptable as a representative of the entire set of values or data.
If Annabelle measures the sides of 15 right triangles and based on her observations, she concludes that for any right triangle the sum of the squares of the two legs is equal to the square of the hypotenuse, what she has done is taking the most frequently occurring value, and in her experiment, the most frequent of all observed data satisfies the Pythagorean Theorem.
That is why Annabelle can confidently make her assumption.