What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 3.14 for pi
Answers
Answer:
V ≈ 62.83
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Solution
V=πr 2h = π · 22 · 5 ≈ 62.83185
Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83
Related Questions
NO LINKS ONLY ANSWERS (25 POINTS)
Arrange the equations in the correct sequence to rewrite the formula for displacement, d=vt-1/2at^2, to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time.
There is a total of 3 answer slots.
Answers
Answers:
d = v(initial)t + 1/2(at^2)
v(final) = √(v(initial)^2 + 2ad)
a = 2(d-v(initial)t) / t^2
t = -v(initial)±√(v(initial)^2 + 2ad) / a
Answer:
1. vt-d=1/2at^2
2. d-vt=1/2at^2
3. a=2(d-vt)/t^2
Step-by-step explanation:
Helppppp!!!!!!!!! Plz
Answers
write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)
Answers
Answer:
[tex]x - 2y = -10[/tex]
Step-by-step explanation:
1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:
[tex]y-8 = \frac{1}{2} (x-6)[/tex]
2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.
[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]
So, the answer is [tex]x - 2y = -10[/tex].
Which is larger 64 inches or 5 feet
Answers
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
|al-|b| + IcI. if a=-8;6=-5;c=1
Pls no links and only give answer if you know it
Answers
Answer:
4Step-by-step explanation:
Given
a = -8;b = -5;c = 1Absolute value is always positive:
|al - |b| + IcI = |-8l - |-5| + I1I =8 - 5 + 1 =4Please help !!!!!!!!!!!!!
Answers
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
Choose the number equal to:
2/3÷(-3).
A) -2
B)-2/9
C)2/9
D)2
Answers
flip the -3 and make it 1/3 and then multiply
Answer:
B) -2/9
Step-by-step explanation:
2/3 ÷ -3 = 2/3 * 1/-3
2*1 / -3*3
2/-9
-2/9
find the mean 8,10,7,3,9,6,4,1
Answers
Hey can someone help me measure these angles
Answers
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answers
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answers
Answer:
Step-by-step explanation:
║( - 5, 3 )║ = √34
What is the answer to the problem
Answers
Answer:
7
Step-by-step explanation:
The sum of the measures of the angles inside a triangle is 180°. Therefore, we can create the equation (6x+5)+60+73=180.
Then we simplify:
1. combine like terms. (6x+5)+60+73=6x+5+60+73=6x+138
2. 6x+138=180, -138 to both sides of the equation. the equation becomes 6x=42.
3. /6 to both sides of the equation. we can reach the conclusion that x=7
73 + 60 + 6x + 5 = 180
138 + 6x = 180
6x = 42
x = 7
Please lmk if you have questions.
Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.
Answers
Answer:
Volume of the figure = 10π cubic meters
Step-by-step explanation:
Volume of the right prism like figure = Area of the base × Height
Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]
= [tex]\frac{1}{4}(\pi)(2)^2[/tex]
= π m²
Height of the prism = 10 m
Volume of the prism given in picture = π × 10
= 10π cubic meters
Answer: 10π
Step-by-step explanation:
need help ASAP :}}}}}
Answers
Answer:
The answer is 24
Step-by-step explanation:
(5x4) the first part 5x4 is 20 so then (1x4) the second part 1x4 is 4 so when you add 20 + 4 it will be 24.
Answer:
20 + 4
Step-by-step explanation:
Evaluate in the parenthesis first.
5 x 4 = 20
1 x 4 = 4
bring them down
20 + 4
Keep the plus sign.
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Answers
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
How many boys are there in an introductory Chinese course if 390 students are enrolled and there are seven boys to every three girls?
Answers
Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)
Answers
Answer:
97.7%
Step-by-step explanation:
For a score below 218 :
P(x < 218)
Standard deviation = 20 ; mean = 178
Obtian the standardized score (Zscore) :
Zscore = (x - mean) / standard deviation
Z = (218 - 178) / 20 = 40 / 20 = 2
P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)
0.97725 * 100 = 97.725 = 97.7%
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)
Answers
Answer:
Step-by-step explanation:
SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT
Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12
Answers
Answer:
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Help thank you so much
Answers
Answer:
1.c
2.b
3.a
4.d
5.c
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
who tryna play 2k or cod
Answers
Answer:
i'M DOWN IT'S CHADCW1234
Step-by-step explanation:
Answer:
o7ft65tu7lfl875t6u
Step-by-step explanation:
Two consecutive even integers have a sum of 14. The equation that would be used to solve this
is x + x +__=14
The smallest of the two integers is _____ when you solve to find the integers.
Answers
2x + 2 = 14
2x = 12, x = 6
Solution: the smallest of the two integers is 6
please help me i will give a brainliest
Answers
Answer:
(8,5)
Step-by-step explanation:
if its a rectangle it must share its x and y values with what is already given
The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answers
Answer:
(a) y intercept is approximately 4.3
(b) [tex]y = 1.5x+4.5[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where [tex]x =0[/tex]
From the attached graph; By observation
[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (9,18)[/tex]
[tex](x_2,y_2) = (8,16.5)[/tex]
So:
[tex]m = \frac{16.5- 18}{8 - 9}[/tex]
[tex]m = \frac{-1.5}{- 1}[/tex]
[tex]m = 1.5[/tex]
The equation is then calculated using:
[tex]y =m(x - x_1) + y_1[/tex]
Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]
[tex]y = 1.5(x - 9) + 18[/tex]
[tex]y = 1.5x - 9*1.5 + 18[/tex]
[tex]y = 1.5x - 13.5 + 18[/tex]
[tex]y = 1.5x+4.5[/tex]
What is the value of the expression below when a = 5?
7a - 4
Answers
Answer:
31
Step-by-step explanation:
Will someone please please help me
Answers
Answer:
Step-by-step explanation:
12 + 5 = 17
square root of 9 = 3
5 x 4 = 20
The population of a city decreases by 2.5% per year. If this year's population is 237,000, what will next year's population be, to the nearest individual?
Answers
I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math
Answers
Answer:
8 quarts and 1 pint
Step-by-step explanation:
there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over
compare and contrast area and perimeter
Answers
Answer:
area is the numbers around the shape and perimeter is inside
Step-by-step explanation:
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answers
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation: