Can you help please?

The volume of a cylinder is 4,019.2 cubic units. If the radius is 8 units, how tall is the cylinder?

AVprozaik [17]

We will be using the formula in looking for the volume of the cylinder which is

V = πr²h

where:

r = radius
h = height
V = volume

but in the problem V and r have values already:
r = 8
V = 4019.2

plug this in the volume equation:

V = πr²h
= 4019.2 = π* 8² * h
= 4019.2 = 64πh
= 4019.2 / 64π = h

so the answer is: h = 4019.2 /201.06193
= 19.99 is the height of the cylinder.

8 0

4 years ago

If i have a forest composed of 25 species of trees, each with a known abundances, how many events are there in the sample space

Vsevolod [243]

There are 25 species of trees, each with a known abundances. The question is how many possible ways to randomly select one tree there are.
We should calculate the number of combinations. Combinations, because we select item/s from a collection. In this case, when we select only one item, the combination is also a permutation. From set of n objects we select r. In our case: n=25, r=1.
The equation is: n!/r!(n-r)!= 25!/1!*24!=25*24!/24!=25
There are 25 different outcomes (events).

3 0

3 years ago

What is the answer to this multiple choice question?

evablogger [386]

Answer:

All expressions are correct

Step-by-step explanation:

9z+7z = 16 z

We need to find an expression ( or expressions ) that are equal to 16z

6z+3z+ 7z = 16z Correct

z+8z+7z = 16z Correct

z*16 = 16z Correct