Answers
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
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Related Questions
A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?
Answers
Find the volume of the cone.
Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.
Answers
Answer:
v ≈ 78.54
Step-by-step explanation:
v = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
so v ≈ 78.54
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In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
Consider the two functions which statement is true
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Answer:
I think it's C
Step-by-step explanation:
Because the line is straight up and it on -2
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Answer:
= 5 /1 2
Step-by-step explanation:
find the slope of the line of best fit shown below.
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What is the range for the third size of the triangle 13,24?
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Answer:
third side range
5
<
C
<
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Step-by-step explanation:
which function is equivalent to
f(x) = -4 (x+7)^2 - 6
Answers
Answer:
A
Step-by-step explanation:
-4(x^2+14x+49)-6
-4x^2-56x-196-6
-4x^2-56x-202
Answer:
F(x)=-4x^2 - 56x - 202
Step-by-step explanation:
what is -9 = -6r simplified
Answers
Answer:
Exact Form:
r = 3/2
Decimal Form:
r = 1.5
Mixed Number Form:
r =1 1/2
Step-by-step explanation:
I need help, please please please
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Answer:
A.
Step-by-step explanation:
There is a picture of a graph
How many ways can you write one whole as a fraction
Answers
Answer:
infinite
Step-by-step explanation:
you could say 1/1 or 4/4 or 146798245/146798245
any number over itself is a whole
Does that answer it? I feel like I'm missing something
Answer:
Any
Step-by-step explanation:
You can write one whole by making the numerator and denominator the same number. Examples: 2/2 3/3 4/4 5/5 6/6 7/7 8/8 9/9 10/10 100/100 20/20
(1 x2) x (3 x 2) x (1 x 3) = ?
Answers
Answer:
2*6*3= 36
Step-by-step explanation:
hope this helps
Multiply whats inside the prentices first, then multiply on the outside then that's how you will get your answer
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 given that he or she is a root beer drinker.
A.) 5/17
B.) 6/17
C.) 15/17
D.) 2/5
Answers
Answer:
B) 6/17
Step-by-step explanation:
P( root beer AND over 40)/P(over 40)
30/(20+30+35)
30/85
6/17
Dan took out a 24-year loan for $111,000 at an APR 0f 7.7%, compounded monthly, while Forrest took out a 24-year loan for $96,000 at an APR of 7.7%, compounded monthly. Who would save more by paying off his loan 13 years early?
Answer: Dan Would save more Since he has $15,000 more in principal.
Answers
Answer: he would save15,000
Step-by-step explanation:
I'm so sorry be can you guys help me out here?
what is the value of 6n - 2 when n=3?
a.16
b.12
c. 6
d.7
Answers
Answer:
Step-by-step explanation:
value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
Answers
Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select two that apply.
Line l is parallel to line m.
Line l is parallel to line p.
Line m is parallel to line q.
Line l is parallel to line q.
Line m is parallel to line p.
Line p is parallel to line q.
Answers
Answer:
A and E
Step-by-step explanation:
After all of the lines are reflected across the y-axis, the true statements are Line l parallels Line m, and Line m parallels Line p.
What is meant by Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet. Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.To learn more about Parallel lines, refer to:
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Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?
Answers
Answer:
49
Step-by-step explanation:
3500 divided by 5 equals 700
700 times 7% equals 49
Suppose your drama club's budget doubles every year. This year the budget is $500. How much was the club's budget 2 yr ago? What expression models what the budget of the club will be in 1 yr? In 2 yr? In y years? What value of y can you substitute into your expression to find the budget of the club 2 yr ago?
Answers
Answers:
2 Years ago the budget was: 125$
The budget in one year will be: 1000$
The budget in 2 years will be: 2000$
Expression used:
500 divided by 2 ( One year back )
250 divided by 2 ( two years back)
Can someone answer this
Answers
Please solve for the maximum value
f(x) = -2x^2 - 12x - 16
Answers
Answer:
-2(x+4)(x+2)
Step-by-step explanation:
thats the answerer
A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density
Answers
Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
What's the answer to 8m - 14=3m+46
Answers
Answer:
Simplifying
8m + -14 = 3m + 46
Reorder the terms:
-14 + 8m = 3m + 46
Reorder the terms:
-14 + 8m = 46 + 3m
Solving
-14 + 8m = 46 + 3m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-3m' to each side of the equation.
-14 + 8m + -3m = 46 + 3m + -3m
Combine like terms: 8m + -3m = 5m
-14 + 5m = 46 + 3m + -3m
Combine like terms: 3m + -3m = 0
-14 + 5m = 46 + 0
-14 + 5m = 46
Add '14' to each side of the equation.
-14 + 14 + 5m = 46 + 14
Combine like terms: -14 + 14 = 0
0 + 5m = 46 + 14
5m = 46 + 14
Combine like terms: 46 + 14 = 60
5m = 60
Divide each side by '5'.
m = 12
Simplifying
m = 12
Answer:
m = 12
Step-by-step explanation:
We want to isolate "m" on one side of equation to see what it is equal to.
Step 1.
Add 14 to both sides of the equation to get 8m = 3m + 60
Step 2.
Subtract 3m from both sides to get 5m = 60
Step 3.
Divide both sides by 5 to get m = 12.
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answers
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
A rectangle is a parallelogram. What is true of the diagonals of a rectangle
that is not true of the diagonals of a parallelogram, in general?
Answers
Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths
Step-by-step explanation:
What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.
We are dealing with rectangles and parallelogram here.
Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.
Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.
However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.
In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.
Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235
Please help I will mark you as the brainiest, I sincerely am grateful if you answer~
Answers
Answer:
The amount of money they will spend at the restaurant is $35.16
Step-by-step explanation:
From the information given in the question, we have;
The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30
The amount they wished to leave as tip, T = 20% (of the bill)
Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;
A = X + T
T = 20% of X = 20/100 × X = 0.2·X
∴ A = X + 0.2·X = 1.2·X
X = $29.30
A = 1.2·X = 1.2 × $29.30 = $35.16
The amount of money they will spend at the restaurant, A = $35.16
Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)
Answers
Your answer is A!
Step-by-step explanation:
Your answer is A!
The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given coordinate plane, the coordinate point lies in fourth quadrant.
Where, x-coordinate is positive and y-coordinate is is negative.
The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.
So, the coordinate point is (3, -5)
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
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What is the solution to this system of equations?
3x + y = 2
2 + 3y
-
--18
re
O (2,-6)
ware
O (3,-7)
(-6, 2)
aphing
O (-7,3)
Answers
Answer:
-7,3
Step-by-step explanation:
look at the pictire
Two families planned to go to the zoo. The entry ticket for one adult was $7.31 and the entry ticket for one
child was $5.66. There were two adults in the group. The families intend to spend no more than
$46.00. What is the greatest number of child tickets that can be purchased?
Answers
Answer:
5 children
Step-by-step explanation:
$7.31 x2 = $14.62
$46- 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
and $33 is bigger than $31
So the greatest number of children tickets can be purchased is only 5.
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.
The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answers
Answer:
Decreased percent = 41.4 % (Approx.)
Step-by-step explanation:
Given:
Old number = 70
New number = 41
Find:
Decreased percent
Computation:
Decreased number = 70 - 41
Decreased number = 29
Decreased percent = [29 / 70]100
Decreased percent = 41.42%
Decreased percent = 41.4 % (Approx.)