We are given –
Height of cylinder is = 4cmLateral surface area of cylinder is = 24πcm²We are asked to find volume of the given cylinder.
Let the radius be "r".Then according to the question,it’s given –
[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf Curved\: surface\: area _{(Cylinder)}= 2\pi r h }[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\pi r h = 24 \pi[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r =\dfrac{24}{2h}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{2\times 4}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{8}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \cancel{\dfrac{24}{8}}[/tex]
[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf r = 3 \: cm}[/tex]
Now, Let's find volume of cylinder
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = \pi {r}^{2}h}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 3^2\times 4 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 9 \times 4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 36[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = 36 \pi \: cm^3}[/tex]
Henceforth, volume of cylinder is 36π cm³.Step-by-step explanation:
Given :-
Height is = 4cmLateral surface area of cylinder is = 24πcm²to find :-
volume of the given cylinder.Solution :-
Lateral surface area of cylinder = 2πrh
24π cm = 2πrh
Cancelling π on both the sides ,
24/2h = r
putting the value of h i.e, 4 cm
24/2×4 cm = r
3 cm = radius
Now volume of Cylinder = πr²h
putting all the values ,
Volume = 3.14 × 3² × 4 cm³
Volume = 113.04 cm³
7,002 divided by 53 estimate
Answer:
132.11
Step-by-step explanation:
7002 ÷ 53 = 132.11
Thus, The answer is 132.11
-TheUnknownScientist 72
Which expression is equivalent to -6.5 - 5.1 + 2.3c - 1.8
Answer: 2.3c-13.4
Step-by-step explanation:
We can combine the constants and c's separately. We first do -6.5-5.1-1.8 which equals -13.4 and add that to 2.3c to get 2.3c-13.4
Answer:
Step-by-step explanation:
it’s actually-4.2c-69 :)
ok so hi I need help with this
Answer:
x=-5, 5
Step-by-step explanation:
Because there is absolute value symbol and is equal to 5.
What is the square root of 30?
Answer:
The square root of 30 is a decimal 5.477...
Step-by-step explanation:
The square root of 30 = 5.477 rounded up is 5.5
what is the following product? (2V7 +3V6)(5V2+4V3)
[tex](2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3}) \\\\\\ \begin{array}{lllllll} 10\sqrt{14}&+&15\sqrt{12}&+&8\sqrt{21}&+&12\sqrt{18}\\\\ &&15\sqrt{2^2\cdot 3}&&&&12\sqrt{3^2\cdot 2}\\\\ &&15\cdot 2\sqrt{3}&&&&12\cdot 3\sqrt{2}\\\\ &&30\sqrt{3}&&&&36\sqrt{2}\\\\ 10\sqrt{14}&+&30\sqrt{3}&+&8\sqrt{21}&+&36\sqrt{2}\\\\ 10\sqrt{14}&+&8\sqrt{21}&+&30\sqrt{3}&+&36\sqrt{2} \end{array}[/tex]
Find the area of the triangle
13
07
5
12
O 65 units?
O 30 units?
O 60 units
O 156 units
what percent of 30 is 18
Answer: 60
Step-by-step explanation:
x%30 = 18
x = 18 * 100 / 30 = 18 * 10 / 3 = 60
Study the triangle. What can you conclude about the angle measures?
The angle measures are 30°, 60°, and 90°.
The angle measures are 45°, 45°, and 90°.
The triangle has a 90° angle, but the other angle measures cannot be determined.
Triangle A B C is shown. Angle A B C is a right angle. The length of A B is 4, the length of C B is 4 StartRoot 3 EndRoot, and the length of hypotenuse C A is 8.
Answer:
A
Step-by-step explanation:
For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively
Types of trianglesTriangle is a 2-D shape that has 3 sides and angles. Some of the types of triangle include:
Right triangleObtuse triangleScalene triangleEquilateral triangleFor a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively
Learn more on right angles here: https://brainly.com/question/24323420
#SPJ2
PLEASE HELP
The graph shown models the speed of a racecar during part of a lap.
Take on the role of a racing announcer and create a story to describe what the graph reveals about the race. Include the following information in your story:
What do the line segments R, S, T, U, and V reveal about the speed of the car?
Include information about the speeds and times when writing your story.
Answer:
A racer has just completed his first lap at a speed of 198m/s. Now his speed decrease or he decelerateted at 195m/s after 2s of his completion of first lap, as soon as he saw a curve path(line segment R). He then moved at a constant speed of 195m/s for the next 2s(line segment s). Then the race track after 4s of the completion of first lap was straight, so the racer accelerated to 200m/s within 2s( line segment T) and traveled at a constant speed for the next 6s( line segment U). After 12s from the first lap completion, he immediately saw a curve track, so he decelerateted to the speed of 194m/s within 3s( line segment V).
Hope it helped.
please mark brainliest
Solve by substitution (show work pls)
y= 2x-2
-3x+4y=-23
Answer:
x = -3 y = -8 (-3,-8)
Step-by-step explanation:
first you would subsitute the y with (2x-2) in -3x+4y=-23 as y=2x-2
giving you-3x+4(2x-2)=-23
next you distribute the 4 to (2x-2) leaving you with -3x+8x-8=-23
then add -3x+8x to get 5x, having 5x-8=-23
add 8 to both sides canceling out 8 on one side and adding 8 to the other leaving you with 5x=-15 then you divide 5 from 5x to both sides leaving you with x = -3
next is y since you have x you would substitute the x in y=2x-2 with -3 getting y=2(-3)-2 then you multiply the 2 and -3 so you have y=-6-2 then you subtract those getting y = -8
8x²+10x
Greatest Common Factor
Answer:
gcf: Since
8
x
2
,
10
x
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
8
x
2
,
10
x
:
1. Find the GCF for the numerical part
8
,
10
2. Find the GCF for the variable part
x
2
,
x
1
3. Multiply the values together
Find the common factors for the numerical part:
8
,
10
The factors for
8
are
−
8
,
−
4
,
−
2
,
−
1
,
1
,
2
,
4
,
8
.
Tap for more steps...
−
8
,
−
4
,
−
2
,
−
1
,
1
,
2
,
4
,
8
The factors for
10
are
−
10
,
−
5
,
−
2
,
−
1
,
1
,
2
,
5
,
10
.
−
10
,
−
5
,
−
2
,
−
1
,
1
,
2
,
5
,
10
List all the factors for
8
,
10
to find the common factors.
8
:
−
8
,
−
4
,
−
2
,
−
1
,
1
,
2
,
4
,
8
10
:
−
10
,
−
5
,
−
2
,
−
1
,
1
,
2
,
5
,
10
The common factors for
8
,
10
are
−
2
,
−
1
,
1
,
2
.
−
2
,
−
1
,
1
,
2
The GCF for the numerical part is
2
.
GCF
Numerical
=
2
Next, find the common factors for the variable part:
x
2
,
x
The factors for
x
2
are
x
⋅
x
.
x
⋅
x
The factor for
x
1
is
x
itself.
x
List all the factors for
x
2
,
x
1
to find the common factors.
x
2
=
x
⋅
x
x
1
=
x
The common factor for the variables
x
2
,
x
1
is
x
.
x
The GCF for the variable part is
x
.
GCF
Variable
=
x
Multiply the GCF of the numerical part
2
and the GCF of the variable part
x
.
2
x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
math guys
how do i find the perimeter of a triangle
Answer:
1/2 x base x height
Step-by-step explanation:
hope this helps!
f-9+4=22
pls some help it's worth 14 points enough for 2 questions pls answer
Answer:
F = 27
Step-by-step explanation:
you subtract 27-9+4
Answer:
f = 27
Step-by-step explanation:
f - 9 + 4 = 22
f-5 = 22
Add the numbers
↓
f = 27
Unknown Angle Problems (with Algebra)
Answer:
x = 5
Step-by-step explanation:
8x + 50 = 90
or, 8x = 90-50
or, 8x = 40
so, x = 5
The width of a rectangle is 4t-1.5 feet and the length is 1.5t+5 feet. Find the perimeter of the rectangle.
Answer: P=2(l+w)=2·(1.5+4)=11 is the answr
Step-by-step explanation:
Suppose that a rectangular piece of glass has a perimeter of 20 meters. If we multiply both its length and its width by 4, what will be the perimeter
of the new rectangular piece of glass?
A) 65 m
B) 80 m
C) 34 m
D) 45 m
Answer:
B) 80 m
Step-by-step explanation:
Let W = width
Let L = length
perimeter of a rectangle = 2 x width + 2 x length = 2(W + L)
If the perimeter of a rectangle = 20 m
⇒ 2(W + L) = 20
If we multiply both its length and width by 4:
Width = 4W
Length = 4L
⇒ perimeter = 2(4W + 4L) = 8(W + L)
As 2(W + L) = 20
Then 8(W + L) = 4 x 2(W + L) = 4 x 20 = 80 m
Find the values of x and y.
Please explain how you got your answer
(i won't be clicking on anything that looks sketchy)
Answer:
x=10º
y=20º
Step-by-step explanation:
7x+90+20=180º
7x=70º
x=10º
5x+2y=90º
5(10)+2y=90
2y=40
y=20º
Please give me brainly o3o
Please help me I need it
Answer:
bro, i answered it already
in your previous question
the second 133.40
Suppose f(x) = x3 + 4. Find the graph of
1
f(x).
Click on the correct answer.
graph 1
graph 2
Answer: its graph 2 becuse it goes through a y intercept of 4 nd isnt negtive. If the formula was negative it would be on the left side/ Correct answer has to be "2"
Step-by-step explanation:
A store had 150 Rams jerseys in stock on Friday. They had 100 jerseys left on Saturday. The amount went down by:
This was a
decrease (2nd response should be an answer with a percent)
Answer:
50
Step-by-step explanation:
CONVERT 12-HOUR TO 24-HOUR
1. 3:26 PM
2. 3:26 PM
3. 11:05 AM
4. 9:35 AM
Answer:
1) 15:26 PM
2) 15:26 PM
3) 11:05 AM
4) 9:35 AM
Step-by-step explanation:
I hope this helps!!HELP NEEDED!! 30 POINTS! BRAINLY TO BEST
Answer:
18Step-by-step explanation:
By similar triangles law:-
[tex]\frac{24}{2x} =\frac{30}{x+6}[/tex]
[tex]24(x+6)=30(2x)[/tex]
[tex]24x+24(6)=60x[/tex]
[tex]24x+144=60x[/tex]
[tex]\frac{36x}{36x} =\frac{144}{36}[/tex]
[tex]x=4[/tex]
Since AB=x+6+2x
[tex]AB=3x+6[/tex]
Substitute value of x
[tex]AB=3(4)+6[/tex]
[tex]AB=12+6[/tex]
[tex]AB=18[/tex]
Therefore, the third side of ΔABC is 18.
~
Hope this helps!
Dimond has 350$ in her bank account . She wrote 4 checks for 18.45$
each and 2 checks for 51.25$ each. what will be the balance in dimonds account after the checks are cashed?
Answer:
love
Step-by-step explanation:
Answer:
$173.70
Step-by-step explanation:
350-4(18.45)-2(51.25)=173.70
HELP IM STRUGGLING REAL BAD WITH THSI
Answer:
GI = 72
Step-by-step explanation:
[tex]GI=48+HI[/tex]
[tex]\frac{48}{HI} =\frac{30}{15}[/tex]
[tex]HI=\frac{(48)(15)}{30} =\frac{720}{30} =24[/tex]
Then:
[tex]GI=48+24=72[/tex]
Hope this helps
I need help with this function question please
Answer:
The answer is San Francisco.
Step-by-step explanation:
For New York City, when there 0 miles traveled the total cost is $2.50, where as in San Francisco it is $2.85.
As you can see San Francisco has a higher rate of ($2.85).
Hope that helps!
I'm a lesbian who wants to ask this girl to be my Valentine, but I'm not sure it's a good idea:(
Answer:
Man up and ask her
Step-by-step explanation:
Solve the problem and explain the steps taken.
There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has
completed 13% of the project, Jatziry has completed 0.10 of the project, and Kwa has completed 1/9 of the
project Make a list of the students in order from least to greatest by the amount of the project they have
completed
oml....help me please this doesn't make sense
Are you clever enough????
What is the answer on the graph?
Thnx
Solve the equation.
e
11
7
e
Stuck? Review related articles/videos or use a hint.
Answer:
[tex]\huge\boxed{\sf e =21}[/tex]
Step-by-step explanation:
Given equation:
[tex]\displaystyle \frac{e}{3} = 7\\\\Multiply \ both \ sides \ by \ 3\\\\e = 7 \times 3\\\\e = 21\\\\\rule[225]{224}{2}[/tex]
Hope this helped!
~AH1807