A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).
Answers
The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
The formula for calculating the volume of a cone is expressed as:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r is the base radius of the coneh is the height of the coneThe volume of the frustum will be expressed as:
Vf = Volume of the larger cone - Volume of the smaller cone
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]Taking the difference in volume:
Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]
Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
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Related Questions
Help me pleas asap and pleas show your work
Answers
Answer:
y = 7 - 4x
Step-by-step explanation:
8x + 2y = 14
2y = 14 - 8x (since we're solving for "y", we want "y" by itself)
y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the equation by 2)
y = 7 - 4x (divide by 2)
Hope this helps :)
The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answers
Answer:
you should use minimum 8 black cur
As a large truck fills its gas tank, the amount of gas, in gallons, can be modeled with the linear function
g = 4t + 8
c.) What is the y- intercept and what does it represent in this problem
D.) What is the Slope and what does it represent in this problem
Answers
Answer:
c. (0, 8), it is how much gas the truck started with
d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)
Step-by-step explanation:
Please solve number 13 and 14
Answers
Answer:
13.
We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)
14.
The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.
1*-2(8d-3e)=
a*16d-6e
b*-16d+6e
c*-16d-6e
??????????
2*1/3(3x-9y)-2/5(10x-15y)=
a*3y-3x
b*3x-3y
c*-3x-3y
??????
Answers
Step-by-step explanation:
2⋅13⋅(3−9)−1⋅25(10−15)=⋅3−3⋅3−3(−3)−3
\frac{2 \cdot 1}{3} \cdot (3x-9y)-1 \cdot \frac{2}{5}(10x-15y)=a \cdot 3y-3xb \cdot 3x-3yc(-3)x-3y
Which is the better buy twelve cans for7 dollors or 6 cans for 4 dollors
Answers
I will say 12 cans for 7$ because if you buy a second pair of 12 cans it will cost 14 but if you buy 6 cans for 4 dollars but another pair would be 8$,but i also depends on how much cans you will need ;)
Hope this helps :)
The better buy should be buy twelve cans for 7 dollors
Given that,
twelve cans for7 dollors or 6 cans for 4 dollors.Based on the above information, the calculation is as follows:
The first option is
[tex]= 7\div 12[/tex]
= $0.58
The second option
[tex]= 4\div 6[/tex]
= $0.67
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8 out of 45 students want lemonade and the rest want iced tea. What is the ratio of the number of students who want lemonade to the number of students who want iced tea?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answers
Answer:
8/37
Step-by-step explanation:
People who wants iced tea = 45 - 8
People who wants lemonade = 8
8 (lemonade) / 37 (iced tea)
Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)
Answers
Answer:
I think the answer is $170
help stranger's ( ◜‿◝ )
Answers
Answer:
what is the question in this picture
100 points
Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?
Answers
Answer:
1/3 * 3 = 1 cup of milk
1/2 * 3 = the amount of water needed per cup of milk
1/2 * 3 = 3/2 or 1.5
The recipe calls for 1.5 cups of water per cup of milk.
Hope this helps!
The quantity of water in the liquid is 5/6 cups
How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cupsIf cups of milk = 1 2/3 cupsWater = Total cups of liquid - cups of milk
= 2 1/2 - 1 2/3
= 5/2 - 5/3
The least common denominator is 3× 2 = 6= (15-10) / 6
= 5/6 cups
Learn more about fraction:
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Suppose a book has 100 names listed in each column, with 5 columns per page. The book has 200 pages.
How many books are needed to list all the people in a population of 200 million?
Answers
Answer:
2,000
Step-by-step explanation:
We know that 100 × 5 = 500, so one page has 500 names on it, we can now then infer that each book has 100,000 names on it because we do 500 × 200.
So knowing that there is 100,000 names per book we now then do 100,000 × 2,000 which equals 200,000,000, so we need to do 2,000 books to store the names of 200 million people. Hope this helps.
Need help ASP TWT……….
Answers
Answer:
C srry if im wrong
Step-by-step explanation:
Find the distance between each pair of points. Round to the nearest hundredth. (-4,5) and (4,0)
Answers
if 10 servings are 4 ounces how many ounces is 7 servings
Answers
Answer:
2.8 ounces
Step-by-step explanation:
4/10= 0.4
0.4*7= 2.8 ounces
Answer:
2.8 ounces per 7 servings.
Step-by-step explanation:
set a proportion
10 servings 7 servings
---------------- = ---------------
4 ounces x ounces
7/10 = 0.7
4 x 0.7 = 2.8
x = 2.8
How many lines of symmetry does the figure have?
0
6
4
5
Answers
the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 which explains whether or not 12 is an outlier?
Answers
Answer:
12 is not an outlier as it is not greater than 13.
Step-by-step explanation:
2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12
Median = 5
Q₁ = 3 (3rd term in sequence)
Q₃ = 7 (9th term in sequence)
IQR = 4
Outliers are either values significantly larger or smaller than the rest of values;
The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)
The lower limit is found by: Q₁ - ³/₂(IQR)
Outliers < 3 - ³/₂(4)
Outliers < -3
Outliers > 7 + ³/₂(4)
Outliers > 13
The lower limit is -3 and the upper limit is 13
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
C. San Francisco
Step-by-step explanation:
In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.
Answer:
San Fransisco
Step-by-step explanation:
Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
A.4/5
B.1/2
C.2/5
D.1/4
Answers
Answer:
A.) 4/5
Step-by-step explanation:
Another fraction that's not on there that is correct is 8/10
How many solutions to a system does the graph below show?
This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions
Answers
Answer: Check explanations
Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.
factorise: p² - 9
for brainliest
Answers
p^2 - 3^2
(p+3)(p-3)
Hope this helps!
Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21
Answers
Answer:
19. 7, 20. 4, 21. 1
Step-by-step explanation:
19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7
20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2
21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.
Thank You In Advance ;))
Answers
Answer:
17,984,000
Step-by-step explanation:
because it is
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for
$1.76 or the 14-ounce box for $2.42?
Answers
Explanation:
10 • 1.76 = 5.68 cents an ounce
14 • 2.42 = 5.78 cents an ounce
I can't find Y, please help!
Answers
Answer:
x = 50 and y = 10
Step-by-step explanation:
The drawing shows several equal sides. The triangles are a reflection of each other, so their angles will be the same.
Take the top and bottom angles:
2x + 5 and 3x - 45
They are equal, so:
2x + 5 = 3x - 45
-x = -50
x = 50
The angle y will have the same value as the one below it in the bottom triangle. Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:
y + (8y-15) + (3x-45) = 180
Rearrange:
y = 180 - (8y-15) - (3x-45)
y = 180 - 8y + 15 - 3x + 45
9y = 180 + 15 - 3x + 45
Since x = 50:
9y = 180 + 15 - 3*(50) + 45
9y = 180 + 15 - 150 + 45
9y = 90
y = 10
when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?
Answers
Answer:
13 r 22
Step-by-step explanation:
The dividend of Amy's division problem is d such that ...
d/67 = 15 +5/67
Multiplying by 67, we get ...
d = 15(67) +5 = 1010
When this is divided by 76, the result is ...
1010/76 = 13 22/76
The correct quotient is 13 remainder 22.
Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was 347.50. How many hours did kaya rent the limo for?
Answers
Answer:
Kaya rented the limo for 5 hours and 30 minutes.
Step-by-step explanation:
Answer:
Kaya rented the limo for about 5 hours and 30 minutes.
Hope this helps! good luck :)
help me with this math question
Answers
Answer:
Its Answer is 13
Step-by-step explanation:
2y + 3 (x - y) + x2
easy one for you folks. show work. giving brainly.
who had to shovel more area of the driveway?
Answers
Answer:
Ahmed shoevked more than sheldon
i have some free things for yaaal
Answers
1+1=
Step-by-step explanation:
what are the free things
pls give me brainliest
Hey y’all please help me.
Answers
Answer:
u-3>-6
Step-by-step explanation:
Just ask.
Hope this helps.