Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
Answer:
its option B
Step-by-step explanation:
The domain of the function g(x) is x >= 5
<h3>How to determine the domain?</h3>
The complete question is added as an attachment
From the graph, we have the smallest value of x to be 5.
And the value of x increases to the right
This means that:
x >= 5
Hence, the domain of the function g(x) is x >= 5
Read more about domain at:
brainly.com/question/10197594
#SPJ1
Answer: B
Step-by-step explanation:
First, simplify the main expression. The answer is 21.
Then simplify A. It is -106. That is not equal to 21 so A is wrong.
Then simplify B. That is 21. That means B is correct and you don’t have to solve C or D.
Answer:

Step-by-step explanation:
our expression is

we are asked to simplify the expression
in order to that we first bring the like terms together
like terms are those having the same variable or same combination of variables with exactly same degrees
Hence it would be like

now we simplify the like terms



Hence
