Mathematics Middle School

Calculate the volume of a cone with a height of 6 inches and a diameter of 6 inches.
Leave your answer in terms of PI

Answers

Answer 1

Answer: Volume ≈ 56.55

Step-by-step explanation:

56.54867 is the answer, but I rounded it. I hope this helped! :)

Answer 2

Answer:

18π cubic inches

Step-by-step explanation:

First, we need to find the radius of the cone, which is half of the diameter.

radius = diameter/2 = 6/2 = 3 inches

The formula for the volume of a cone is:

V = 1/3 × π × r^2 × h

where r is the radius of the base of the cone, and h is the height of the cone.

Substituting the values we get:

V = 1/3 × π × 3^2 × 6

V = 1/3 × π × 9 × 6

V = π × 18

Related Questions

100 POINTS HELP PLEASE IM DESPERATE !!!!!!!!!!!!!!!!!!!!

If AB¯¯¯¯¯¯¯¯
is translated right 5
units and down 2
units, what are the coordinates of A′,
the image of point A?

Line Segment A B with coordinates A negative 5, 2 & B negative 2, 6.

Answers

So basically you gotta go uo down left right up up down agian that ur answer
The coordinates for A’ would be (0,0)

Can someone please help me

Answers

Rate of change= (y2-y1)/(x2-x1), in this case the rate of change is 2
2

the formula for rate of change is
(Y2 - Y1)/(X2-X1).

Plug in any 2 random coordinates.

(6-4)/(5-4)

2/1

2

Find the volume of the triangular prism; do not round.

Answers

Answer:

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]

[tex]\large\underline{\textsf{What is Volume?}}[/tex]

[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]

[tex]\large\underline{\textsf{We are Given;}}[/tex]

[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]

[tex]\textsf{between 2 bases.}[/tex]

[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]

[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]

[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]

[tex]\mathtt{Volume=(Base) \times Height}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\large\underline{\textsf{For this Problem;}}[/tex]

[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]

[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\textsf{Find the area of the base first.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]

[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]

[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]

[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]


[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]


[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]

[tex]\mathsf{volume = 33.55}[/tex]


[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]

[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]
Other Questions
Which of the following is a point of tangency on the circle below?A. Point YB. Point ZC. Point WD. Point X Which of the following audio formats does not use any compression technique? A) MP4 B) MP3 C) WAV D) WMA. you are considering a project with an initial cost of $7,500. what is the payback period for this project if the cash inflows are $1,100, $1,640, $3,800, and $4,500 a year over the next four years, respectively? behavioral activation is based on the simple idea that group of answer choices the day-to-day lives of depressed people lack positive reinforcement. depressed people think illogically. the brains of depressed people are chemically imbalanced. depressed people lack social skills. Factorise pq-pr-pq+r which of the following are functions of money? multiple select question. hedge against inflation store of value unit of account medium of exchange explain why oxygen forms 2 bonds to hydrogen to make a water molecule, while nitrogen forms 3 bonds to make a molecule of ammonia at 3:25 p.m., two trains left kalamazoo, michigan. one train traveled westward at a constant rate of in the nineteenth century, pools, trusts, and mergers were: group of answer choices seen as beneficial by consumers. ways that manufacturers sought to control the marketplace. unheard of. used only rarely. Translate the figure 5 units left and 5 units up. -10-9 Plot all of the points of the translated figure. You may click a plotted point to delete it. applying Peruvian guano," Charles Bartlett, 1860The view expressed in Source 1 shows what feature of economicimperialism by the United States?support of foreign leaders who show favoritism to the United States' economic intereststhe United States expanding its territorial possessions to secure commodities for thedomestic marketcreating tariffs to discourage foreign commodities and promote domestic producersthe structuring of trade policy in order to gain advantage for American companies Please help me get the answers to this joe doesn't seem to know much about plumbing and has never worked as a professional plumber. so i wouldn't hire joe to re-pipe your home. _____ commit a fallacy; specifically, it _____ commit an argument against the person fallacy. Define business in your own words. What do you believe a business is? Define the definition: Heterozygous a client is prescribed oral disopyramide to manage ventricular dysrhythmia which side effets will the nruse include suppose you were dragging a table across a rough floor. in this case, the potential energy for friction depends on which quantity or quantities? (choose all that apply) The Fat Boys: Yanelis Arumbda Date: 324Name:Class Period: 21."1985's classic film 'Krush Groove' introduced America to Hip Hop's first generation of2 "The Fat Boys made that movie. 'All You Can Eat' was"They were the first guys to genuinely usein Hip Hop."They actually gave Hip Hop the commercial recognition that it needed for theof Hip Hop.""The Fat Boys were the absolute first dudes to wear thatproudly.""But for the Fat Boys, the same element that fueled their success, their youth, their innocence andeven their physical size would ultimately sow the seeds of7."In the early 1980's the fresh sounds of Hip Hop were flowing out of New York neighborhoodsto radio and"Over in Brooklyn, three football playing teenagers found themselves drawn to the music and3.4.5.6.8.9. "No DJ! We got a dude that makes!"10. What was the name of the club in the Bronx where they "got busy?"11. "Markie D and Kool Rock were descent rhymers but in my opinion Buff""12. "First prize for winning the contest was13. "We didn't kn what we were doing any more than they did. We had a feeling for what wasgoing on inand we were going to catch this wave."14. "Steddler used his overseas contacts to book the young teenagers on a3915. "With no friends and no girls, the Fat Boys turned to16. They were the second most popular act in music, second only to17. "You boys are a little overweight, hmmm, let's come up with a record called18. "With 'Stick 'Em,' Buff established himself with Doug E. Fresh and Bis Markic as one of thepioneers of19. What was the song "Jailhouse Rap" about?20. "The Fat Boys were on a rollercoaster that would soon speed21. "With two hits off their first album, the Fat Boys were one of the hottest groups22. "The same year, the Fat Boys released a second album produced by23. "The Fat Boys becameon stage as well."24. "In 1987, the Fat Boys starred in a 3 Stooges style comedy called25. "...and they teamed up with26. "By the late 1980's The Fat Boys were at the peak of27. "Tensions between Skettler and the group went beyond28. "The Fat Boys felt trapped by their29. "One night at a show it all came3330. "The breakup of the Fat Boys in 1989 turned out to a31. "While Markie was flying high, Charles Stettler was keeping.32. How old was Buff when he died?33. We weren't the greatest rappers. We were average but Buff is the one whofor Markie D. a corporation must present details about contributed capital in the a.first year of operation. b.management discussion and analysis section. c.notes to the financial statements or parenthetically adjacent to each capital stock account. d.footnotes. a sample of neon has a volume of 40.81 m3 at 23.5c. at what temperature, in kelvins, would the gas occupy 50.00 cubic meters? assume pressure is constant. a. 363.27 k b. 230.54 k c. 242.0 k d. 28.79 k