Using Cavalieri's Principle, what is the general formula for the volume of a cone?

Answer:

The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.

Step-by-step explanation:

So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.

(b) Solve this problem
9-X= 2
​

30)
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 747

HELP PLEASE I BEG

Juan had $19000 and chose to split the money into two different mutual funds. During the first year, Fund A earned 7% interest and Fund B earned 3% interest. If he received a total of $1042 in interest, how much had he invested into each account?

Juan invested $_____ into Fund A.
Juan invested $_____ into Fund B.

Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?

Patricks family spent 2 hours and 30 minutes driving home they arrived home at 10:00 pm what time did patricks family leave? HELP QUICK TAKING A TEST

There are 25 pineapples in a basket. Each pineapple weighs 100 grams. What is the total weight off all the pineapples in the basket? Please use complete sentences when answering the question.

Which number line shows the solutions to
1x – 2 > 0?
Pls help

Hey I need some help with this

Find the value of x. Round to the nearest degree.

Not drawn to scale

Melanie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 467 people went to The Youth Wing, 433 people went to Social Issues, and 342 went to Fiction and Literature.On Sunday, the library had 1500 total visitors. Based on what Melanie had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.

Need help no links please ASAP​

Read this excerpt from Fever 1793.

Andrew Brown's print shop smelled of ink and grease and the sweat of muscular apprentices carrying trays of lead type from the composing table to the printing press. When I was a child, Mr. Brown let me pick out letters and set them in the form. It had been a thrill seeing my words in print.

The printer issued no invitation to me that morning. He was deep in conversation with Mr. Carris as we entered.

Readers understand Andrew Brown's feelings based on his

direct statements
unusual actions.
work habits.
attitude toward others.

Click on three points that are solutions to y = 2x + 1.
A. (0,0)
B. (0, 1)
C. (1,0)
D. (1,3)
E. (2,5)
F. (4,8)

What are the results of
(3 + 1) + 27 ÷ 9 =

What is the slope of the line

Write an equivalent expression to show the relationship of multiplication and addition.


10+10+10




4+4+4+4+4+4+4




8×2




3×9




6m




d+d+d+d+d




​

4.0/5.7=1.8/x what is the answer for u smart people

Dividing fractions
7/10 2

A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position relative to sea level.

-3x + 2 ≤ 14= ? [tex]-3x +2 \leq 14[/tex]

What is the quotient if
1/3 of 10 is divided by 1/7 of 8/12? Reduce if possible.

The film The Lord of the Rings: The Return of the King, the last installment of The Lord of the Rings trilogy, was directed by Peter Jackson and released on December 17 2003 in the U.S. with huge success. Eventually, the film won 11 Oscars for all of its nominations. The film's box office has been more than $1 billion. In the film, there are long sequences in which not all main characters appear at the same time. And there are big scenes where everybody shows up. Thinking about the making of the film, behind the scenes, we can hypothetically break down the entire cinematic project into the following aggregate activities (We assume away all the complexities in shooting the three installments at the same time and other production details):
‐ Plan, screenplay, finance, cast, film crew, location
‐ Construction of movie sets
‐ Shooting sequence 1
‐ Shooting sequence 2
‐ Shooting sequence 3
‐ Big scene sequence
‐ Post‐production & finalization before release
We have the following hypothetical data on time in months and cost in millions of dollars:
ID IP T ES EF LS LF SLK NT NC CT CC CCR
A ‐ 6.0 6.0 13.0 6.0 13.0
B A 4.0 4.0 9.0 3.0 12.0
C B 4.0 4.0 12.0 4.0 12.0
D B 5.0 11.0 5.0 14.0 4.0 16.0
E B 6.0 0.0 6.0 16.0 4.0 19.0
F C,D,E4.0 4.0 19.0 4.0 19.0
G F 6.0 6.0 11.0 5.0 13.5
Note: IP = Immediate Predecessor; T = NT = Normal Time; ES = Earliest Start; EF = Earliest Finish; LS = Latest Start; LF = Latest Finish; SLK = Slack Time; NT = Normal Time; NC = Normal
Cost; CT = Crash Time; CC = Crash Cost; & CCR = Crash Cost/Time Unit (Crash Cost Rate).
Copy the table to your homework and complete the following parts:
By looking at the chart in part (a), find all possible paths through the network with their corresponding path times. Based on these path times, determine the critical path.
Based on part (a) By using the forward and backward passes together with the four time determination rules, fill your calculations for ES,
EF, LS, LF, and SLK in the appropriate cells.
(b) [2] Try to independently fill in the columns ES, EF, LS, LF, and SLK of the table. If you have difficulties, refer to part (a). Determine the activity with the most slack time.
c) [2] Based on part (a), find the critical path by going through the activities with no slack time.
Compare this result with the critical path found in part (b).
d) Use appropriate data to compute crash costs per time unit and fill in the CCR column. Cross out any CCR cells where the corresponding activities cannot be crashed.
(e) [2] Find the total normal cost of the film. Find the normal cost on the original critical path. Compute the cost proportion of the critical path in the film's budget.

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.

explain

The volume of a cylinder is 1800cm. if the height of the cylinder is 40cm then the diameter of cylinder is?​

I’m am very confused some1 please help... thanks

ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.

I need help with this question please​

If the circumference of a circle is 44 cm, find its area​

I don’t know what to do please don’t give me files I don’t get it

A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of
$0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the
lower price, should the formula use a z-value that is greater than or less than-1?
a. Greater than -1
C. Greater than 1
b. Less than -1
d. Either way, it doesn't matter
Please select the best answer from the choices provided
A
B