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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Step-by-step explanation:
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if 10 servings are 4 ounces how many ounces is 7 servings
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Answer:
2.8 ounces
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Answers
Answer:
12 is not an outlier as it is not greater than 13.
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p^2 - 3^2
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Answer:
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The quantity of water in the liquid is 5/6 cups
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Answer:
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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 ;)
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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:
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= $0.58
The second option
[tex]= 4\div 6[/tex]
= $0.67
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Answers
Answer:
13 r 22
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The dividend of Amy's division problem is d such that ...
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Multiplying by 67, we get ...
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Answer:
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Answer:
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Suppose a book has 100 names listed in each column, with 5 columns per page. The book has 200 pages.
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Answers
Answer:
2,000
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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.
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Answers
Answer:
I think the answer is $170