Pete runs an ice cream stand that also sells snow cones served in paper cones. The paper cones he usually uses have a radius of 3 inches and a height of 4 inches, but his supplier is out of them. As a replacement, he purchases paper cones with a radius of 4 inches and a height of 3 inches. How do the volumes of the original and replacement cones compare? A. The replacement cone holds 3π cubic inches more than the original. B. The original and replacement cones have the same volume. C. The replacement cone holds π cubic inches more than the original. B. The original cone holds π cubic inches more than the replacement.
Answer:
The correct answer is;
The replacement cone holds 4·π cubic inches more than the volume of the original cone
Step-by-step explanation:
The given measurements of the cones are;
The radius of the original cone, r₁ = 3 inches
The height of the original cone, h₁ = 4 inches
The radius of the replacement cone, r₂ = 4 inches
The height of the replacement cone, h₂ = 3 inches
The volume of a cone, V = (1/3)·π·r²·h
The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁
∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³
The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂
∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³
The ratio of the volume of the two cones is given as follows;
Volume ratio = V₁/V₂
∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4
The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³
Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.
What is the equation of the line that passes through (1, -2) and (-1, 4)?
Answer:
Hi! The answer to your question is y=-3x+1
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
What is the variable of 1 + 4i = 5i + 10
Answer:
i = -9
Step-by-step explanation:
4i-5i =10 -1
-i= 9
i=-9
Solve the equation lol 54x+6x-30=7(x+2)+3x
Answer: 22/25
Step-by-step explanation:
54x+6x-30=7(x+2)+3x
60x-30=7(x+2)+3x
60x-30=7x+14+3x
60x-30=10x+14
60x-10x-30=14
60x-10x=14+30
50x=14+30
50x=44
x=22/25
pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)
Help this is due in 2 minutes
Answer:
6% growth
Step-by-step explanation:
The equation =
A = 2300(1.06)⁷
What does 0.06 represent in the equation?
The formula for Exponential growth =
y = a (1 +r)^t
Where
y = Size after time t
a = Initial size
r = Growth rate in Percentage
t = Time t
Equating both Equations together
y = a (1 +r)^t = A = 2300(1.06)⁷
1 + r = 1.06
r = 1.06 - 1
r = 0.06
Converting to percent
r = 0.06 × 100
r = 6% growth rate
Carmen said that the probability of an event occurring is 100. Is this probability possible?
Answer:
maybe
Step-by-step explanation:
Will give brainliest. Pls help. The volume of a cylinder is 300 feet^3. Find the volume of a cone and a sphere that have the same height and radius as the cylinder.
Cone:
Sphere:
Answer:
Cone: 100ft^3
Sphere: 200ft^2
Step-by-step explanation:
Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:
[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]
So we can just instantly tell that the volume of the cone is 100feet^3.
Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]
[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]
So we can instantly tell that the volume of the sphere is 200feet^3
Find the perimeter of ten digits to the nearest hundredth. (I’ll mark brainliest if correct)
The equation of the line shown in the graph is y = ?.
Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .
Answer:
4/5
Step-by-step explanation:
you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction
Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?
Answer:
$12.75
Step-by-step explanation:
8.75 + 3.50 = 12.25
25 - 12.25= 12.75
PLZ helpppp
Explain where you would draw all lines of symmetry for each shape
Answer:
AT and H just straight down the middle from top to bottom. The x shape, from one point to is opposit point (an point works i think), and the heart, down the middle top to bottom, and the H can go middle from left to right
Step-by-step explanation:
A rectangle has a perimeter of 100. Its length is 5a+225a+22 and its width is \frac{1}{2}\left(a+1\right)
2
1
(a+1). What is the value of a?
Help me fast please
Answer:
The answer is the third option, 20.
If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?
Answer:
10 more shawties
Step-by-step explanation:
30-20 = 10
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
Function 1 rate of change: 1/2
Function 2: 5/6
Function 2 has the greatest rate of change
Step-by-step explanation:
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A D
Side B G
Side C E
Side D F
100 points "I am a brainly trusted helper" so (B-anabl-e/ P-unishabl-e O-ffence-s) Links, Non listed answers, I don't know.
Answer:
Since ABCD is a top face cube
EFGH is a buttom face cube
Now
Diagonal through interior is:
Side AG,CE,FD&BH
So your answer is:
Side C E
Side C ESide D F
Find the area of the figure round to the nearest tenth
Answer:
180 m
Step-by-step explanation:
What is the circumference of a circle with a radius of 5.4 ft? Use 3.14 for π and round your answer to the nearest hundredth
Answer:
91.61
Step-by-step explanation:
A=πr2=π·5.42≈91.60884
hope this helps give me crown
The graph of x+y= -9 is shown. Use the Add Arrow
tool to graph the equation y = 2x + 3 on the same
coordinate plane. Use the Add Point tool to plot the
solution to this system of linear equations.
Answer:
Step-by-step explanation:
y = -x - 9
y = 2x + 3
Find point of intersection
2x + 3 = -x - 9
x = -4
Intersection: (-4,-5)
line e has a slope of 9/8. line f is parallel to line e. what is the slope of line f?
Answer: 9/8
Step-by-step explanation:
Find the lower quartile (Q1).
55, 60, 65, 95, 90, 75, 75, 80, 85, 80, 85, 85
Answer:
Hi! The answer to your question is 65
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
James earns 20 allowance every month and 30 for each a on his report card
PART A- Identify the independent and dependent variables
PART B- Write a function that describes the situation
f(x)
Answer:
Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.
Part B - y = 30x + 20
Step-by-step explanation:
Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.
Part B; The function for this situation is;
⇒ f (x) = 30x + 20
Where, x is number of report card.
What is mean by Function?
A relation between a set of inputs having one output each is called a function.
Given that;
James earns 20 allowance every month.
And, Earn 30 for each a on his report card.
Now,
Let number of report card = x
Then, We can formulate the equation as;
⇒ f (x) = 30x + 20
Where, x is number of report card.
Hence, The independent variable is monthly allowance and the dependent variables is earns in report card.
Thus,
Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.
Part B; The function for this situation is;
⇒ f (x) = 30x + 20
Where, x is number of report card.
Learn more about the function visit:
https://brainly.com/question/28793267
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I need help on multi step Pythagorean theorem
Is 0.8 bigger than 46.91?
Answer:
no
Step-by-step explanation:
plz help 20 pints will give crown no links or wrong or trolling answers please
Answer:
Rock, Pop, Metal, Country
Step-by-step explanation:
Isn't it just the least probability of picking a certain CD to the most probability. Shows it all in the graph, I may be wrong.
Uma mulher com prou 171 capacetes e 1/9 veio com defeitos quantos capacetes estavam perfeitos para uso
Responder:
152 capacetes
Explicação passo a passo:
Dado que:
Número de capacetes = 171
Fração com defeito = 1/9
Portanto, número de capacetes com defeito:
1/9 * 171 = 19 capacetes
Número de capacetes sem defeitos:
Número total de capacetes - número de capacetes defeituosos
171 - 19 = 152 capacetes
Find the distance between the points (0, 4) and (10, 0).
Answer: there is no picture I will help if you repost it ? Brainliest if you can I need 4 more to rank up
Step-by-step explanation:
45°
9
X
Find the value of x. Write your answer in simplest form.
9514 1404 393
Answer:
x = (9/2)√2 = 4.5√2
Step-by-step explanation:
We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:
9 = x·√2
9√2 = 2x . . . . multiply by √2
(9/2)√2 = x . . . divide by 2