The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
Learn more about the volume of the cylinder and the volume of the cone here:
https://brainly.com/question/16007458
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Tara has two bags of marbles. The first bag contains 6 red marbles,5 blue marbles, 4 green marbles , the second bag contains 3 red marbles,2 blue marbles and 4 green marble. Tara will randomly select 1 marble from each bag. What is the probillity that Tara will randomly pick a blue marble from each bag?.
If the actual distance between two cities is 52 kilometers (km), then the distance on the map would be ? cm
I need help ASAP find u and v
Answer:
u = 66
v = 38
Step-by-step explanation:
In a parallelogram, opposite angles are equal. U is opposite to 66, so it is 66 degrees
In a parallelogram, corresponding angles are supplementary. 180 - 66 = 114
this means that 3v = 114. 114/3 = 38, which is what v is.
Evaluate the following expression when m=16 and g = 4
g (9 – m) + 5
show ur work
Answer:
-23
Step-by-step explanation:
given: g(9-m)+5
substitute the values you have been given
4(9-16)+5
4(-7)+5
-28+5
=-23
A chef uses one-half of his spices when cooking breakfast. two-thirds of the spices he uses of breakfast are used when making omelets. what proportion of his total spices are used on making omelets?
Answer:
1/3
Step-by-step explanation:
1/2 of spices
1/2 * 2/3 = 2/6 = 1/3
Which linear equation is in the point-slope form?
Answer:
points
Step-by-step explanation:
What is the answer to this equation?
1/2 (4i+8)=-2
Answer:
If your looking for I the answer is -3
Step-by-step explanation:
Simplify both sides of the equation
1/2(4i+8)=-2 - Distribute
(1/2) (4i) + (1/2) (8) = -2
The subtract 4 from both sides
Then divide both sides by 2
A pair of jeans is normally priced at $56, but is currently marked down for with a 35% discount. What would replace the B in the proportion? A/B=P/100%
Answer:
$36.4
Step-by-step explanation:
Given
Cost of Jean = $56
Percent markdown = 35%
Discount = 35% of $56
Discount = 0.35 * 56
Discount = $19.6
New price = $56 - (35% of $56)
New price = $56 - 19.6
New price = $36.4
hence the price that will replace B is $36.4
Michelle flips a penny four times, and it lands heads up all four times. On her fifth flip, what is the probability that the penny will land tails up? Explain.
Answer:
1/2
Step-by-step explanation:
theoretical probability of a coin flip is always 50% heads, 50% tails
variable of context need answer please
PLEASE HELP ITS DUE IN A FEW MINS
A triangle has sides with lengths of 20 centimeters, 48 centimeters, and 54 centimeters. Is the triangle a right triangle?
HELPP ON GEOMETRY!! Plzzzz
But not links or I’ll report
please help fast asap
Answer: 47 degrees
Step-by-step explanation:
7x-9=4x+15 because of the vertical angle rule
7x-9=4x+15
3x=24
x= 8
So the angle 7(8)-9 = 47°
Answer:
m<ABC=<7x-9=7×8-9=47° is your answer
Step-by-step explanation:
4x+15=7x-9 vertically opposite angle
15+9=7x-4x
x=24/3=8
whats 43.008625 as cent
Answer:
43 cents. us coinage doesn't have decimals
Step-by-step explanation:
Answer:
43 cents
Step-by-step explanation:
43.008625 is 43 cents.
If you are talking about percentage, it is 4300.8625 %
Solve for the expression. What is the value of q?
5q + 23 = 178
Answer:
q=31
Step-by-step explanation:
5q = 178-23
5q = 155
q = 31
Answer:
31
Step-by-step explanation:
178-23=155
155/5= 31
what is the formula of this volume
Find the area of the shaded triangle.
Answer:
120
Step-by-step explanation:
The formula for a triangle is 1/2bh
so u first multiply 12 by 20 which you will get 240.
After you get 240 u multiply it by the 1/2 which also means dividing by 2.
240 divided by 2 is 120.
A DVD rental service wants to pay close attention to what movies their customers like the most. Which measure of central tendency will give them the best estimate? Explain.
Answer:
Mode.
Because it is used to determine the most frequently occurring item which in this case is movie.
Step-by-step explanation:
The 3 measure of central tendencies are namely;
Mean, median mode.
- Mean is defined as the average of a set of data.
- Median is the middle term of a set of data that splits that set of data into 2.
- Mode is the term that occurs most frequently in a set of data.
In this question, we want to find the movies most frequently watched.
Thus, from the definitions above earlier, it is clear that the only way to know this is using the mode.
Use the absolute value function g(x)=|x−7|−6 to answer the questions.
Vertex: (__,__)
Axis of Symmetry: x = ___
(thank you SO much if you are answering this)
Answer:
Step-by-step explanation:
i dont see an image
HELP PLZ . I NEED HELP
Answer:
292.5
Step-by-step explanation:
t= hours, they traveled 4 1/2 hours, or 4.5 hours, so t= 4.5
The expression is 65t, so putting in the 4.5, its
65(4.5), 65 x 4.5= 292.5
So, the answer is 292.5
need help asap please!
Answer:
A
Step-by-step explanation:
The area of the large triangle is 36*24/2
minus the small triangle which is 21*14/2
so 432-147 = 285
which best describes the scatter plot
The dot plots represent the number of absent students over 12 days in two classes.
Claus
Class o
0 1
B
9
7
Number of Absent Students
0
1
4 5 6
Number of Absent Students
Which statement is true?
The difference in the means is about 1 times the range of Class Q's data.
O The difference in the means is about 14 times the range of Class P's data.
The mean number of absent students in Class P is greater than the mean number of absent students in Class Q.
O The median number of absent students in Class P is greater than the median number of absent students in Class Q.
Calculator
I need help with this question
Answer:
It would be b I think
Step-by-step explanation:
(PLEASE ANSWER BEFORE 12:00 TONIGHT (March 29) TY!!)
consider a rectangular prism with length 4 and width and height d
Find an expression for the volume of the prisms in terms of d.
2. compute the volume of the prism when d=1, when d=2, and when d=1/2
Answer:
Step-by-step explanation:
The expression for the volume of the prisms in terms of d is 4d².
What is a volume?Volume is the amount of space occupied by a three dimensional shape or object. For a rectangular prism:
Volume = length * width * height
From the diagram, length = 4, width = d, height = d. Hence:
Volume = 4 * d * d = 4d²
When d = 1: Volume = 4(1)² = 4
When d = 2: Volume = 4(2)² = 16
When d = 1/2: Volume = 4(1/2)² = 1
The expression for the volume of the prisms in terms of d is 4d².
Find out more on volume at: https://brainly.com/question/12410983
F is inversely proportional to d^2. When F=9, d=4 Work out d (positive value rounded to 2 DP) when F=6
Answer:
d = 4.90
Step-by-step explanation:
Given the following data;
F = 9
d = 4
For an inversely proportional relationship, we have;
F = k/d²
Now, we would find the constant, k;
9 = k/4²
k = 9*16
k = 144
Next, to find d, when F = 6
d² = k/F
d² = 144/6
d² = 24
Taking the square root of both sides, we have;
d = 4.90
Someone help me with this if you know the answer swipe up
please help me with this i don’t understand it
Answer:
62
Step-by-step explanation:
119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62
i hope this helped!
1/3 (x-10) = -4 what is x
Step-by-step explanation:
1/3x-10/3=-4
1/3x=-4+10/3
1/3x=-2/3
x=-2
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = −2