A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed
Answers
Answer:
12 cm^3
Step-by-step explanation:
Before we do anything, we should set up the proportion.
[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]
Now do the Cancelations of \pi r^2 on the left.
h// (4/3) r = 18/x
but h = 2*r
2r // (4/3) * r = 18/x Cancel the rs on the left
2// (4/3) = 18/x Make 2 = 2/1 so you can handle the fraction
2/1 // (4/3) = 18/x Invert and multiply the denominator
2/1 * 3/4 = 18/x
6/4 = 18x You can reduce the left side
3/2 = 18x Cross multiply
3x = 2*18 Combine the right
3x = 36 Divide by 3
x = 12
So what you have found is the volume of the sphere. 12 cm^3
This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).
I'm a little long winded here, but the first time you see this, you should be given very small steps.
Related Questions
9+4^2/8x3
What does this equal ?
Answers
Explanation: evaluate the exponent
9+4^2/8•x^3
9+16/8•x^3
Divide the numbers
9+16/8•x^3
9+2x^3
Rearrange terms
9+2x^3
2x^3+9 and that’s the answer;)
Answer:
[tex]9+4^2\div 2^3\tems*3[/tex]
[tex]9+2^4\div8*3[/tex]
[tex]9+2*3[/tex]
[tex]9+2*3[/tex]
[tex]9+6[/tex]
[tex]15[/tex]
-------------------------hope it helps..have a great day!!Find m∠ABC.
132°
48°
19°
21°
Answers
Answer:
Step-by-step explanation:
48
Find the value of X and TQ
Answers
ok I don't know go to school or sum
Please help with these problems!!!
Answers
Answer:
12345678901234567890
13 1 point
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
C) SSS
B) SAS
D) AAS
Answers
the SAS is a special forces Unit let's goo
INEQUIDAD SALARIAL Este es el ingreso mensual que se percibe por género en su primer empleo: 16 Menos de 100 12 20 Entre 1500 3.000 Entus 200 000 14 BODOyt,000 23 ade 15.00 8 10 103 20 30 35 40 FTNINA Fuente Exacoldcarea colmate y UV Professor ACTIVIDAD Contesta las siguientes preguntas planteadas con referente a la grafica. 1. ¿Qué Informacion presenta la grafica anterior? el bove e una mu queue percibe por ponere en 20 2. ¿Cual es el ingreso que una mujer percibe en su primer empleo y que pocas mujeres lo consiguen? 31 OCHS MATEMATICAS 30 TRIMESTRE 111 3. ¿Cuál es el ingreso que un hombre percibe en su primer trabajo y que muy pocos lo consiguen? 4. ¿Cuál es el ingreso de un hombre y una mujer que percibe en su primer trabajo y es donde mas mujeres y hombres hay? 5. Calcula la media de esos datos. 6. Calcula el Rango de esos datos 7.- ¿Cuál es la mediana de esos datos? 8.2Cuál es la Moda de esos datos? ACTIVIDAD: Resuelve el siguiente problema:
Answers
Answer:
udfdufuhgjhfdhhudhjhnvn cjhcfhfhufvhfuh
Step-by-step explanation:
guhfr fuhuhdf bfhuyvvhd ui hty
Please help Ill give brainlest
Answers
Answer: D
Step-by-step explanation:
your answer is 6
The circle below has center T. Suppose that mUV = 68 and that UW is tangent to the circle at U. Find the following. Does anyone know this?
Answers
Answer:
Step-by-step explanation:
Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.
As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees
Megan uses cup of almonds to make 4 cups of trail mix. Using this
same proportion, how many cups of almonds would Megan need to make
9 cups of trail mix?
Answers
2 1/4 cups
Step by step:
First we can set up a ratio (1:4). Then we can divide both by 4 to find how many cups of almonds per cup of trail mix. We get 0.25:1. Multiply both by 9, and there’s the answer (2.25:9).
Hope this helped <3
Elisa decided to take a vacation. The distance she plans to travel each day will form a geometric sequence
Answers
Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they each begin with
Answers
Answer:
Aaron = 54
Bola = 18
Step-by-step explanation:
Let
[tex]A \to Aaron[/tex]
[tex]B \to Bola[/tex]
From the first statement, we have:
[tex]A = 3B[/tex]
After given Bola 6 sweets,
[tex]A - 6 = 2(B + 6)[/tex]
Required
The initial number of sweets each has
Substitute [tex]A = 3B[/tex] in [tex]A - 6 = 2(B + 6)[/tex]
[tex]3B - 6 = 2(B + 6)[/tex]
Open bracket
[tex]3B - 6 = 2B + 12[/tex]
Collect like terms
[tex]3B -2B = 12+6[/tex]
[tex]B = 18[/tex]
Substitute [tex]B = 18[/tex] in [tex]A = 3B[/tex]
[tex]A = 3 * 18[/tex]
[tex]A = 54[/tex]
Find the circumference of the circle.
Answers
Answer:
37.68 is the correct answer
Step-by-step explanation:
diameter of the given circle is 12ft
circumference of a circle = pi x diameter.
= 3.14 x 12 ft
= 37.68 ft
Answer:
A
Step-by-step explanation:
because use the equation circumference of a circle
[tex]2 \times \pi \times r[/tex]
so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)
HELP
Find the distance from point P (-2, 8) to the line y = -1.
Answers
Step-by-step explanation:
Distance= ✓(-2-0)²+(8+1)²
=✓(4+81)
=✓85
It was very cold in Canada on Monday. On Tuesday, the temperature dropped one degree and was -2. What is x, the temperature on Monday?
Answers
Answer:
-3
Step-by-step explanation:
-2= x+1
-2-1=x
-3=x
(HELP) A glass jar contains 5 red, 7 green, 9 blue and 11 yellow marbles. If a single marble is picked at random from the jar, what is the probability of it being a blue marble? *
1/11
5/18
9/32
5/12
Answers
Answer:
Find the volume of this prism.
1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE
Answers
what is the correct answer
Answers
Answer:
Step-by-step explanation:
B is correct answer
Identify the property being demonstrated for each expression.
13+ (5 + 7) = (3 + 5) + 7
(3)[5(7)] = (3)[7(5)
5 + 0 = 5
Answers
Answer:
3 + (5 + 7) = (3 + 5) + 7
Associative property
(3){5(7)} = (3){7(5)}
Commutative Property
5 + 0 = 5
Identity Property
Step-by-step explanation:
please please HELP me! this is due tonight
explaining your answer = brainliest/five star rating
the peremiter is 15 cm. c = ___ cm?
Answers
Answer:
4
Step-by-step explanation:
the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.
Please help
Linear Pairs of Angles
Use the value of x to find the
measure of Angle 1.
X = 25
Z1 = [?]° Z2 = [ 1°
5x - 5 2x + 10
22=0
Answers
Answer:
5x-5
This equal : 120
2x+10
the second is 60
Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?
Answers
Answer:
[tex]Max\ Area = \frac{x^2}{16}[/tex]
Step-by-step explanation:
Given
[tex]P = x[/tex] ---- the perimeter of fencing
Required
The maximum area
Let
[tex]L \to Length[/tex]
[tex]W \to Width[/tex]
So, we have:
[tex]P = 2(L + W)[/tex]
This gives:
[tex]2(L + W) = x[/tex]
Divide by 2
[tex]L + W = \frac{x}{2}[/tex]
Make L the subject
[tex]L = \frac{x}{2} - W[/tex]
The area (A) of the fence is:
[tex]A = L * W[/tex]
Substitute [tex]L = \frac{x}{2} - W[/tex]
[tex]A = (\frac{x}{2} - W) * W[/tex]
Open bracket
[tex]A = \frac{x}{2}W - W^2[/tex]
Differentiate with respect to W
[tex]A' = \frac{x}{2} - 2W[/tex]
Set to 0
[tex]\frac{x}{2} - 2W = 0[/tex]
Solve for 2W
[tex]2W = \frac{x}{2}[/tex]
Solve for W
[tex]W = \frac{x}{4}[/tex]
Recall that:
[tex]L = \frac{x}{2} - W[/tex]
[tex]L = \frac{x}{2} - \frac{x}{4}[/tex]
[tex]L = \frac{2x- x}{4}[/tex]
[tex]L = \frac{x}{4}[/tex]
So, the maximum area is:
[tex]A = L * W[/tex]
[tex]A = \frac{x}{4}*\frac{x}{4}[/tex]
[tex]Max\ Area = \frac{x^2}{16}[/tex]
can someone please explain to me how to do this?
Answers
Answer:
The fourth coefficient is 4.
Step-by-step explanation:
Pascal's Triangle in this case has 5 rows of coefficients because the highest power in (y + w)^4 is 4. 4 plus 1 is 5.
Here's the appropriate Pascal's Triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1 Use this row when expanding the 4th power of (v + w).
Notice that in the given expansion, the coefficients are
1, 4, 6, 4 1
This corresponds to the last (5th) row of Pascal's Triangle (above).
So the correct coefficient to be placed in the box is 4.
Analyze the diagram below and complete the instructions that follow.
K
L
5
J
M
Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest
hundredth.
Answers
did I choose the right graph?
Answers
Answer:
Step-by-step explanation:
The - tells you that it is upside down. So that much of your choice is correct for certain.
The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.
Help needed!!! Will give 20 points!!!
Answers
Answer:
1st answer
Step-by-step explanation:
[tex]f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4[/tex]
HELPPPPPPPPPPPPPPPPPP ASAP!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]254.5 m^2[/tex]
Step-by-step explanation:
Area of a Circle: [tex]A=\pi r^2[/tex]
The r is the length of the radius of the circle
The radius of the shown circle is 9 m
[tex]A=\pi 9^2[/tex]
[tex]A=81\pi=254.469004941[/tex]
Answer:
254.57 square meters
Step-by-step explanation:
first we need to know the details given in the question . in this question we are given radius of the circle which is eight 9m.
then we need to know the formula for finding the area of the circle.
which is πr^2 ,value of pie is 3.14
3.14*9*9=254.57.
HELP PLEASE!!!! SHOW WORK!!!
7) Kristof wants to build a new rectangular pen for Sven to live in. Kristof measures and finds that the width of the fence is 3x + 4. He also knows that he wants the length of the fence to be 4 times the width.
a) Create an expression that could be used to find the perimeter of the fence.
b) If Kristof knows that the perimeter of the fence is 280 feet, what is the length and width of the fence?
Answers
Answer: 5
Step-by-step explanation:
Find the radius y of circle C, given that x = 12 and z = y + 8.
PLEASEEE HELP ME
Answers
The radius of the given circle is 5, option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given figure, y is the radius.
By pythagoras theorem we find the radius
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
AC²+AB²=BC²
y²+12²=(y+8)²
y²+12²=y²+64+16y
144=16y+64
Subtract 64 from both sides
144-64 = 16y
80=16y
Divide both sides by 16
y=5
Hence, the radius of the given circle is 5, option C is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
pls explain the answer
Answers
Answer:
even
Step-by-step explanation:
itz even cos it is divisible by 2
Answer:
6 is even number.
Step-by-step explanation:
An even number is a number that can be divided into two equal groups.
An odd number is a number that cannot be divided into two equal groups.
for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.
if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.
Find the length of the third side. If necessary, round to the nearest tenth. 24 28
Answers
Answer I believe it would be 32
Step-by-step explanation:if it’s 24, 28 it should be 32
