a cylinder has a diameter of 8 cm and a height of 6 cm. what is the volume of the cylinder? use 3.14 for pi, and round your answer to the nearest hundredth. 75.36 cm3 150.72 cm3 301.44 cm3 1,205.76 cm3
Answers
The volume of the cylinder is 301.44 cm³. We use the radius that is half of diameter length in the formula for the volume of a cylinder.
What is the volume of a cylinder?
The formula for the volume of a cylinder is
V = πr²h
Where
- V = volume
- r = radius of cylinder
- h = height of cylinder
A cylinder has
- Diameter, d = 8 cm
- Height, h = 6 cm
Using π = 3.14, find the volume of the cylinder!
We find the radius of the cylinder.
r = ½d
r = ½(8) cm
r = 4 cm
The volume of the cylinder would be
V = πr²h
V = (3.14)(4)²(6)
V = 18.84 (16)
V = 301.44 cm³
Hence, the volume of a cylinder with the diameter of 8 cm and height of 6 cm is 301.44 cm³.
The correct option is (c).
Learn more about volume of a cylinder here:
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Answer:
301.44
Step-by-step explanation:
v=3.14 times radius squared times height
Diameter is the radius times 2
8 the diameter divided by 2 is 4
replace those
v=(3.14)4^2(6)
final answer is 301.44
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Answers
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Answers
The question asks about "arrangements". That seems to mean that
the position of the candidate's name on the list matters.
The first name can be any one of the 8. For each one . . .
The second name can be any one of the remaining 7. For each one . . .
The third name can be any one of the remaining 6. For each one . . .
The fourth name can be any one of the remaining 5. For each one . . .
The fifth name can be any one of the remaining 4.
The total number of possible 'arrangements' = (8 x 7 x 6 x 5 x 4) = 6,720 .
(That's 8! / 3! .)
But for this type of problem, the order usually doesn't matter ... it's all
the same thing whether 'Jones' is 1st, 3rd, or 5th on the list etc.
Then the question is really: How many different groups of 5 can be
nominated with 8 candidates ?
Well, how many different ways can you arrange 5 names ?
Using the same type of reasoning as above, 5 names can be
lined up in (5 x 4 x 3 x 2 x 1) = 120 different orders.
So, while it's true that you can make 6,720 different 5-name line-ups
with 8 names, every possible group appears on that huge list shuffled
in 120 different orders.
If the order doesn't matter, then there are only (6,720 / 120) = 56 different
groups of 5 names, although they appear in every possible shuffle on the
big list.
Answers
1.1 + 2 = 3
2.10 + 50 + 100 =160
3.6x + 8x + 2x = 16 x
Notice that the sum of the numbers is always greater than the addends. This only proves that any positive sum of any two positive addends will not compare and thus the addends not exceeding a greater value than the sum.
Answers
Answer:
coordinates of y- intercept = (0, 19 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x + 19 ← is in slope- intercept form
with slope m = 6 and y- intercept c = 19 or in coordinate form (0, 19 )
Answers
Answer:
y = 4 * x
y is the number of students that Lorenzo surveys,
x is the number of students that Nicole surveys.
Step-by-step explanation:
Lorenzo surveys 24 students, so we can use this value as the left side of our equation.
The number of students that Lorenzo surveys is 4 times as many as the number of students that Nicole surveys, that is 6. So, we use the value of 6 in the right side of the equation, and multiplied by 4 (the expression "4 times as many as" means that one value is the second one multiplied by 4)
The expression that represents this is:
24 = 4 * 6
If we use the variable y to express the number of students that Lorenzo surveys and x to express the number of students that Nicole surveys, we can write this equation:
y = 4 * x
Answers
Answer:
$46325 in total for the car
Step-by-step explanation: