A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)
Answers
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Work Shown:
A = volume of the cylinder
A = pi*(radius)^2*(height)
A = pi*r^2*h
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The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4
B = volume of the cone
B = (1/3)*(volume of cylinder with radius r/4 and height h)
B = (1/3)pi*(r/4)^2*h
B = (1/3)*pi*(r^2)/(4^2)*h
B = (1/3)*pi*(r^2)/16*h
B = (1/3)*(1/16)*pi*r^2*h
B = (1/48)pi*r^2*h
B = (1/48)*A
B = (1/48)*(volume of cylinder)
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C = volume of the empty space/air inside cylinder, but outside cone
C = A-B
C = A - (1/48)*A
C = (48/48)A - (1/48)A
C = (48A)/48 - (A/48)
C = (48A-A)/48
C = 47A/48
C = (47/48)*A
C = (47/48)*pi*r^2*h
Related Questions
In a quiz consist of 10 questions,+2 marks are given for a correct answer, -1 marks for an incorrect answer and 0 marks for not attempting a question. Radhika got 8 correct answers and 2 wrong answers. What is her total score?
Answers
======================================================
Work Shown:
c = number of correct answers
w = number of wrong answers
n = number of questions not attempted
2c = points you get from all the correct answers
-1w = points you get from all the wrong answers
0n = points you get from all the questions attempted
2c-1w+0n = 2c-w = total number of points
In this case, she got 8 correct answers and 2 wrong answers. So c = 8 and w = 2 which leads to
2c-w = 2*8-2 = 16-2 = 14
Her total score is 14.
Maggie‘s brother is 11 years younger than four times her age. The sum of their ages is 54. How old is Maggie?
Answers
Answer:
Maggie is 13
Step-by-step explanation:
Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by 4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.
Math Equation Explanation:
13*4 = 52 (Maggies Age) x 4
52-11= 41 The question stated that Maggie's brother was 11 -------------------------------------years younger than her age times 4.
41 + 13 =54 The sum of both their ages.
PLZ HELP EASY QUESTION
Are days and months capitalized in Spanish?
Yes
No
Answers
No, they aren’t capitalised
Hope this helps :)
After Megan walked 5 miles, her activity tracker had counted 9,780 steps. David's activity tracker had counted 11,928 steps after he walked 6 miles. Suppose each person's step covers about the same distance. Who takes more steps to walk 1 mile? How many more steps?
Answers
Answer:
The answer is below
Step-by-step explanation:
Meghan covered 5 miles with 9,780 steps. The number of steps per mile = 9780 / 5 = 1956 steps per mile
David covered 6 miles with 9,780 steps. The number of steps per mile = 11928 / 6 = 1988 steps per mile
This means that David covered more steps per mile compare to Meghan. The number of more steps = 1988 - 1956 = 32
Therefore David had 32 more steps per mile
Convert the number to scientific notations 89,970,303,001=
Answers
write a real world problem that can be solved using the distributive property
Answers
Answer:
10 + 2. 3(10 + 2) = ? something like that I think .
Step-by-step explanation:
Solve the Equation. You must show all your work. (3 pts. - 1 point for correct
answer. 2 points for correct work shown.
(You must show work for every step when you add subtract/multiply divide both
sides by a value).
Answers
4m=3m-5/2-5
(2)4m=2(3m-5/2-5) get rid of the fraction
8m=2•3m-5/2-10 cancel out the denominator
8m=3m-5-10 combine like terms
8m=3m-15
8m-3m=3m-3m-15 subtract 3m from both sides
5m=-15
5m/5=-15/5 divide 5 from both sides and get your answer
m=-3
which ordered pair is the solution to y=x+2/5
Answers
Answer: (2, 2 )
Step-by-step explanation:
Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.
y = x +
(0,0) → 0 = 0 + FALSE
(1, ) → = 1 + FALSE
(2, 2 ) → 2 = 2 + TRUE
Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 370 ft?
The land that is covered with an irrigation arm of 370 ft is
Answers
Answer:
The land that is covered with an irrigation arm of 370 ft is [tex]430,084\ ft^2[/tex]
Step-by-step explanation:
Area of the circle
Being r the radius of a circle, its area can be calculated as follows:
[tex]A=\pi\cdot r^2[/tex]
The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:
[tex]A=\pi\cdot 370^2[/tex]
[tex]A=430,084\ ft^2[/tex]
The land that is covered with an irrigation arm of 370 ft is [tex]430,084\ ft^2[/tex]
5x+2y=10
Solve for y
Answers
Answer: y=(-5x/2)+5
Step-by-step explanation:
There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.
Subtract 5x from both sides.
5x-5x+2y=10-5x
2y=-5x+10
Then to get to y to being by itself, divide by 2 on both sides
(2y/2)=(-5x+10)/2
y=(-5x+10)/2----> or -5x/2 + 10/2
y=(-5x/2)+5
ALGEBRA I
1
MODULE 1
A clothing company sells hats online to its customers. The price of each hat is p dollars. The
shipping cost is s dollars. The equation shown below can be used to find the total cost (c), in
dollars, when n hats are purchased.
C = np + S
A. Kayla bought two hats from a clothing store company for $9.99 each.
The cost of shipping for each order is $1.79. Write an equation that
can be used to find the total amount Kayla spent.
1
(use this space for work or to explain)
Equation:
(1 Pt)
Answers
Answer: C = (2)(9.99) + 1.79
C = $21.77
Step-by-step explanation:
Answer:
23.56
Step-by-step explanation:
2(9.99)+2(1.79)
Help please this is dues in 30 min I still don’t understand
Answers
Answer:
800 blue marbles
Step-by-step explanation:
Since the ratio of red to blue is 3 to 4, we know that there is 600 red marbles.
Using this information we know that 3 and 600 are both red marbles, now we multiply 3 by 200 to get a total of 600 red marbles. You can also find the value needed to multiply the 3 by dividing 600 by 3.
Since we know that 1 ratio is 200, we multiply 4 by 200 to get 800 blue marbles.
What is the equation of the line that passes through the point (-5,3) and has a slope of -6/5
Answers
Answer:
y=-6/5x-3
Step-by-step explanation:
Formula: y-y1=m(x-x1)
y-3=-6/5(x-(-5))
y-3=-6/5(x+5)
y-3=-6/5x-6
y=-6/5x-3
Answer:
y=-6/5x-3
Step-by-step explanation:
:)
HELP ME PLZ ILL GIVE YOU EXTRA POINTS IF U GET IT RIGHT
Answers
Step-by-step explanation:
I used my calculator, so they should be correct.
help i do nut understand
Answers
Answer:
500$ is the answer....
Answer:
$60 and $560
Step-by-step explanation:
Prt= Interest
(500)(0.04)(3)= $60
A = P(1 + rt)
A = 500 (1 + 0.04(3))
A= $560
Simplify the expression.
74÷(32)
A. −218
B. 218
C. 76
D. −76
Answers
Answer:
Simplify the expression.
Exact Form:
37
16
Decimal Form:
2.3125
Mixed Number Form:
2
5
16
HELP FAST !!! plzzzzz
Answers
Answer:
Flip the triangle around at the point Z
Step-by-step explanation:
The reason you need to flip the triangle at point Z is because, when reflecting, you need to reflect it over the line given. since the reflective line is x = 1, you reflect it off the line x of 1 or point (1,0). Also, when reflecting, the line of reflection will actually be perpendicular with the point given because, when reflecting, x = 1 means that all of the x coordinates on the line will equal 1. For example, your line would have to pass through the points (1,-4), (1,-2), (1,0), (1,2), so on so forth so in this statement, all of your points will be reflected over that line and since z is on that line, the triangle is just fliped at point z.
Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.
Answers
Answer:
its D
Step-by-step explanation:
if you look at the graph I shared, the end behaviors are
As x approaches -7 from the left, y approaches -∞.
As x approaches -7 from the right, y approaches ∞.
As x approaches 7 from the left, y approaches ∞.
As x approaches 7 from the right, y approaches –∞.
The only one that maches this description is D
Answer:d
Step-by-step explanation:
just d
If m_3 = 29°, what is m_4?
0
m_4 =
Answers
Answer:
151°
Step-by-step explanation:
angle m_3 and m_4 must add up to 180 because they both lie on a straight line. Thus, we can do 180-29 to get m_4.
What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25
Answers
Answer:
yes
Step-by-step explanation:
8/25= 0.32 which is a terminating decimal
Answer: 8
Over
25
Step-by-step explanation:
Gail Martinez is employed at My Best Books. She has family medical coverage through the group medical plan that My Best Books provides for its employees. The annual cost of Martinez's family membership is $3,900. The company pays 50% of the cost. How much does she pay annually for medical insurance? *
Answers
Answer:
$1850
Step-by-step explanation:
The annual cost of Martinez's family membership for medical insurance is $3,900.
The company pays 50% of the cost.
So, the cost paid by the company= 50% of $3,900.
[tex]=\frac {50}{100}\times 3900=\$1850[/tex]
The remaining cost for the family medical insurance must be paid by Gail Martinez.
So, the annual payment by her =$3900-$1850=$1850
Hence, she pays $1850 annually for medical insurance.
Angelina put 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the
tub now has 35 liters of water in it. Angelina says he is wrong.
Carry out your steps. Explain who is correct and why.
Answers
Answer:
Jack is wrong because 3,000 milliliters is equal to 3 liters. If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.
Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their average monthly game sales for March through July have been 4,567,5430,3998,5,220,and 4,906 respectively. How many games must they sell in august to earn the bonus.
Answers
Answer:
Approximately 4824 gamesStep-by-step explanation:
Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906
the average is (4567+5430+3998+5220+4906)/5
=24121/5
=4824.2
in the month of august let the sales be x
average= (4567+5430+3998+5220+4906+x)/6
the average for march to july is 4824.2
4824.2= (4567+5430+3998+5220+4906+x)/6
24121+x=4824.2*6
24121+x=28945.2
x=28945.2-24121
x=4824.2
approximately 4824 games
8.9% is equivalent to what fraction in reduced terms?
Answers
Answer:89/1000
Step-by-step explanation:
Answer:
[tex]\frac{89}{1000}[/tex]
Step-by-step explanation:
8.9% = 0.089[tex]0.089 = \frac{89}{1000}[/tex]I hope this helps!
Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.
Answers
Answer:
The better deal is 8 bagels for $4.15
Step-by-step explanation:
6 bagels for $3.29
3.29/ 6 = $.54833333 per bagel
8 bagels for $4.15
4.15/ 8 =$.51875 per bagel
The better deal is 8 bagels for $4.15
Answer:
buy 8 bagles
Step-by-step explanation:
because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose
8 times a number squared
Answers
Answer:
8 * x^2
Step-by-step explanation:
Answer:
yes yes yes 0982111111
Which inequality is true? A number line going from negative 3 to positive 3 in increments of 1. StartFraction 5 Over 6 EndFraction less-than negative one-third 2 and one-third greater-than 2 and one-sixth 2 less-than negative 2 and one-half 1 and one-fourth greater-than 1 and one-third
Answers
The inequality is true.
Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.
Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.
The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.A number line that is going from the negative 3 to positive 3 and is in increasing order. The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.Hence the option 1, 2, and 3 are true.Learn more about the inequality is true.
brainly.com/question/19366916.
Answer:
i have a feeling it is b
Step-by-step explanation:
pls help ASAP i got only 5 minuts left
Answers
help me plz thank you
Answers
Answer:
9 momths =270 days
Step-by-step explanation:
9 month *30=270 days
You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequality that represents the number of bags “b” that you need to buy
Answers
Answer:
2.56 = 30
b = 12
(Sorry if I’m wrong! I speeded on it.)
Step-by-step explanation: