The cylinder and the cone have the same volume.what is the height of the cone
Answers
The height of the cone is 4 inches.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Given that the cylinder has a radius of 2 inches and a height of 3 inches, we can substitute these values into the formula to calculate its volume.
[tex]V_{cylinder}= \pi (2^2)(3)[/tex]
[tex]V_{cylinder}= 12\pi \text { cubic inches}[/tex]
Since the cylinder and the cone have the same volume, the volume of the cone is also 12π cubic inches.
The volume of a cone is given by the formula [tex]V = (1/3)\pi r^{2} h[/tex].
We are given that the radius of the cone is 3 inches. We can substitute this value and the volume into the formula to find the height of the cone.
[tex]12\pi = (1/3)\pi (3^2)h[/tex]
[tex]12\pi = (1/3)(9)h\pi[/tex]
[tex]12\pi = 3\pi h[/tex]
h = 4 inches
Related Questions
Rectangle???ABCD has vertices A(8, 5) , B(8, 10) , C(14, 10) , and D(14, 5) . A dilation with a scale factor of 1.2 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6, 6) ?
A???
B???
C???
D???
Answers
A (8, 5)
hope this helps!
The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the poster. The poster is 36 inches wide, and the DVD cover art is 6 inches wide. If the diagonal of the poster is 4 feet, what is the diagonal of the DVD cover art?
Answers
Now that we have our proportionality constant lest apply it to the diagonal of the poster to find the diagonal of the DVD cover. But notice that the diagonal of the poster is in feet not inches, so we need to convert 4 feet to inches first. Remember that 1 foot = 12 inches, so lets use that proportion to set up our conversion fraction:
[tex](4feet)( \frac{12inches}{1 foot} )= 48inches[/tex]
The only thing left now is shrunk, divide, the diagonal by our proportionality constant [tex]k[/tex]
[tex] \frac{48}{k} = \frac{48}{6} =8[/tex]
We can conclude that If the diagonal of the poster is 4 feet, the diagonal of the DVD cover will be 8 inches.
find the measures of the numbered angles in each figure
Answers
2 is 90 - 27 = 63
3 63 angles 2 and 3 are in an isosceles triangle. They are opposite equal sides so the angles are equal.
A shopping company charges $3.50 plus $0.85 per pound to ship a package. Janet shipped a package and the total charge was $8.60. Write and solve an equation to find the weight of the package.
Answers
Basically replaced p with any number than times that your outcome of that number add it to 3.50 and see if you get 8.60
Based on the information, the weight of the package is approximately 6 pounds.
How to calculate the weightAccording to the given information, the shopping company charges $3.50 as a base fee and an additional $0.85 per pound to ship the package.
The total charge for shipping the package, which is $8.60, can be expressed as:
$3.50 + ($0.85 * w) = $8.60
To find the weight of the package, we need to solve this equation for "w". Let's solve it step by step:
$0.85 * w = $8.60 - $3.50
$0.85 * w = $5.10
Now, we can isolate "w" by dividing both sides of the equation by $0.85:
w = ($5.10) / ($0.85)
w ≈ 6
Therefore, the weight of the package is approximately 6 pounds.
Learn more about equations
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Felicia bought 4 buckets of popcorn at the movies if she paid a total of $15 how much is one bucket of popcorn?
Answers
15/4 = 3.75
Each book cost ~$3.75
hope this helps
The distance around a circle is 56.55 meters long. What is the diameter of the circle?
Answers
Answer: Diameter of circle = 18m
Explanation:
Given that distance around a circle is = 56.55 meter
The distance around a circle on the other hand is called the circumference .
That means Circumference = 56.55 m
We know the formula of circle's circumference= 2πr
where r is the radius and 2r is diameter of the circle
So,
2πr = 56.55
divide by π both the side
2r = [tex] \frac{56.55*7}{22} [/tex]
Value of π = [tex] \frac{22}{7} [/tex]
2r = 17.993 ≈ 18 m
Diameter of circle = 18m
Over several months, a meteorologist recorded a total snowfall of 8.6 centimeters. During this period, the average monthly snowfall was 4.3 centimeters. For how many months did the meteorologist collect measurements of the snowfalls?
Answers
Help with this question please!!
Answers
[tex]3(6x) = 18x[/tex]
The third one is answer because it simplifies to:
[tex]2x(9) = 18x[/tex]
Those are all your answers: Option 1 and Option 2.
Gabe filled 5 glasses of the same size with ice tea from a full 64-ounce pitcher. There were 3 ounces left in the pitcher. Which equation and solution give the number of ounces, s, in each glass?
Answers
Answer:
The number of ounces in each glass is [tex]12.2\ ounces[/tex]
Step-by-step explanation:
Let
s-------> the number of ounces in each glass
we know that
To get the number of ounces in each glass, subtract the amount of tea left in the pitcher from the total amount of tea and divide the result by the number of glasses.
so
The equation that represent the situation is
[tex]s=(64-3)/5[/tex]
[tex]s=(61)/5=12.2\ ounces[/tex]
Answer:
Step-by-step explanation:
A road map has a scale of 1:20000 on the map a road has a length of 4cm work out the actual distance five your answer in metre
Answers
To determine the actual distance of a 4 cm road on a map with a 1:20000 scale, multiply the map measurement by the scale factor to get 80000 cm, then convert it to meters to obtain an actual distance of 800 meters.
Explanation:To work out the actual distance of a road on a map that has a scale of 1:20000, you need to convert the map length to the actual length. If the road measures 4 cm on the map, you would use the following steps:
Determine the scale ratio, which is 1 cm on the map represents 20000 cm in reality.Multiply the map distance by the scale factor. In this case:4 cm (map distance) imes 20000 (scale factor) = 80000 cm. Convert the result from centimeters to meters since 1 meter is equal to 100 centimeters.
80000 cm \/ 100 = 800 meters.
Therefore, the actual distance of the road is 800 meters.
you have to find the volume of this figure
Answers
1/2 x L x H X W
1/2 x 8 x 4.5 x 30 = 540
area of top triangular pyramid
1/3 x B x H
B = 1/2 bxh = 1/2 x 8 x 4.5 = 18
1/3 x 18 x 10 = 60
total volume = 540 + 60 = 600 cubic cm
What’s the answer? Thank You
Answers
25 square inches --> straight line across
A rope that is 2 feet and 6 inches long is cut into 3 strips in a ratio of 2: 3: 5 How long is the longest piece How much longer is the longest piece than the shortest one?
Answers
The Georgia sales tax is 4%. However, some places in Georgia charge a higher rate of sales tax. This is MOST LIKELY because Question 3 options: shipping goods to some localities in Georgia can be extremely expensive. the sales tax in Georgia is determined by how much money the buyer makes per year. localities in Georgia can add a certain percentage to sales tax for their own needs. sellers can charge whatever they want as long as the minimum state rate is collected.
Answers
Final answer:
The most likely reason some localities in Georgia charge higher sales taxes is that they can add to the state's 4% tax to cater to their own financial needs, funding local services and needs.
Explanation:
The question relates to why some places in Georgia might charge a higher rate of sales tax than the state's baseline of 4%. The most likely reason is that localities in Georgia have the authority to add additional percentages to the state sales tax to address their individual financial requirements. This is commonly seen in states where local governments utilize the sales tax mechanism to fund specific local public services and projects. For instance, a city may add a percentage to fund improvements in education, transportation, or healthcare facilities.
The amount of sales tax is determined by multiplying the price of the goods or services by the sales tax rate. When a locality opts to add to the state sales tax, the total sales tax a consumer pays is the sum of the state rate plus any local rates. This system allows for local governments to cater to their unique budgetary needs while still adhering to the broader state tax structure. This is different from other variables, like shipping costs, buyer's income, or seller preferences, which do not generally affect the sales tax rate.
Please help!!!
What sum of money will yield a simple interest of Rs.1155 in 3 years 6 months at 11% per annum .
Answers
Answer:
Rs.833.94
Step-by-step explanation:
To solve for the sum of money or principal, we use the formula:
[tex]P=\dfrac{A}{1+rt}[/tex]
The current variables we have are:
A = Rs.1,155
r = 11% or 0.11
t = 3.5
Now let's plug the variables into the formula.
[tex]P=\dfrac{A}{1+rt}[/tex]
[tex]P=\dfrac{1,155}{1+(0.11)(3.5)}[/tex]
[tex]P=\dfrac{1,155}{1+0.385}[/tex]
[tex]P=\dfrac{1,155}{1.385}[/tex]
[tex]P=Rs.833.94[/tex]
-1/5 of a number is n is at least 17
Answers
n ≥ -17/5 is the answer
Why is #1-3 still wrong?
Answers
2. Answer:
[tex] \frac{18}{7} [/tex]
3. Answer:
x= -3
Hope this Helps! ♥
A triangular prism and two nets are shown:
Which is the correct net of the prism and what is the surface area of the prism?
Answers
surface area of the prism is
Surface area = Area of two triangular faces + Area of bottom rectangle + Area of two side rectangles
View attachment
Hope this helps
The correct net of the prism is net A and the surface area of the prism is 510 square inches
How to determine the surface areaTo calculate the area of the triangular prism, we make use of the net A
Start by calculating the area of the rectangle.
The dimension of the rectangle is (5 + 12 + 13) by 15
So, the area of the rectangle is:
[tex]Area = (5 + 12 + 13) * 15[/tex]
[tex]Area = 450[/tex]
Next, calculate the area of the two congruent triangles of base 5 and height 12
[tex]Area = 2 * 0.5 * (5 * 12)[/tex]
[tex]Area = 60[/tex]
Sum both areas
[tex]Total = 450 + 60[/tex]
[tex]Total = 510[/tex]
Hence, the surface area of the prism is 510 square inches
Read more about surface areas at:
https://brainly.com/question/24571594
Approximate the length of the diagonal of the square to the nearest tenth. the square sides are 6
Answers
Explain the advantage of creating a linear function from a set of data; why bother to do this?
Answers
Here is an example. Height and shoe size have a linear relationship. Let's say you plot the point (height in inches, shoe size in US women's sizes) for 50 people or so. You would see a strong linear relationship. The points wouldn't make a perfect line but very close to it. As height increases so does shoe size and it does so in a linear way. Now if we call the height h and the shoe size s then we would have an equation that relates h and s. So that if we wanted to know the shoe size of someone 96 inches (8 feet high) tall we could get that (or very close to it) from the equation even if there was no one in our sample that was that tall. Similarly we could solve for height if we knew shoe size.
An economy package of cups has 200 green cups. If the green cups are 10% of the total package, how many cups are in the package?
Answers
Final answer:
Set up a proportion where 10% of the total number of cups equals 200 green cups, then calculate to find that there are 2000 cups in the entire package.
Explanation:
To find the total number of cups in the package when 200 green cups represent 10% of the total, we can set up a simple proportion. Here, 10% corresponds to the number of green cups we know about. We need to find 100% to discover the total number of cups in the package.
The proportion we'll set up is:
10% / 200 cups = 100% / x cups
To solve for x (the total number of cups), we will divide 200 cups by 10% to find the value of 1% and then multiply by 100%:
1% of total = 200 cups / 10
x (total cups) = (200 cups / 10) × 100
Perform the calculation:
x = 20 cups × 100
x = 2000 cups
So, there are 2000 cups in the total package.
Semi annually means how many times a year?
Answers
Ravi is driving 440 miles to visit his grandma. He drives at a rate of 55 miles per hour. How many hours will it take him to get 34 of the way there?
Answers
Answer:
The answer is 6 hours
Step-by-step explanation:
;)
NEED HELP FAST PLEASE!! Draw the base plan for the set of stacked cubes, assume the no cubes are hidden from view.
Answers
Elmo buckets made 54 out of 80 free throw .What percent did he miss
Answers
Answer:
67.50%
Step-by-step explanation:
We can prove that the answer is correct by taking 67.50 percent of 80 to get 54:
(80 x 67.50)/100 = 54
Note that our calculator rounds the answers up to two decimals if necessary. Once again, the answer is as follows:
67.50%
Which of the following represents the most accurate estimation of 375+147
Answers
rounded to the nearest hundred is 500
What is the equation of the line in slope-intercept form?
[ fill in the spaces ]
y=___x+___
Answers
which names the opposite and absolute value of 12
Answers
Absolute value: |12| = 12
a bottle of hand lotion is on sale for $2.25 . If this price represents a 50% discount from the original price , what is the original price to the nearest cent ?
Answers
let's write original price as x
50% of x = 2.25
0.5 * x = 2.25
divide both sides by 0.5
x = 4.5
The original price is 4.5
To check:
50% * (4.5) =?= 2.25
0.5 * 4.5 =?= 2.25
2.25 = 2.25
Hope this helps.
Answer:
$4.50
Step-by-step explanation:
Since there is a 50 % discount on the price, the new price is 100 % − 50 % = 50 % of the original price.
Let the original price be x . Then we have:
x ⋅ 50 % = $ 2.25
x ⋅ 1 2 = $ 2.25
x = $ 2.25 ⋅ 2 =
$ 4.50
So, the bottle of hand lotion's original price was $ 4.50 .
1.2 decreased by 40%
Answers
1.2 - 0.48 = 0.72
Solution = 0.72
I hope this helps