Two paper drink cups are shaped like cones. The small cone can hold 6 oz of water. The large cone is 4/3 the height and 4/3 the diameter of the small cone. Which of these could be the amount of water the large cone holds?
Answers
Amount of water contained in the cone shaped large cup will be given by Option (B). 14 oz
Volume of a cone:Volume of a cone is given by the expression,
V = [tex]\frac{1}{3}\pi(r)^2h[/tex]
Here, r = radius of the circular base of the cone
h = Height of the cone
Let the height of the small cone = h cm
And the radius of the small cone = r cm
Therefore, volume of the small cone = [tex]\frac{1}{3}\pi(r)^2h[/tex]
Radius of the large cone = [tex](\frac{4}{3}r)[/tex] = [tex]\frac{4}{3}r[/tex]
Height of the large cone = [tex]\frac{4}{3}h[/tex]
Volume of the large cone = [tex]\frac{1}{3}(\pi)(\frac{4}{3}r )^2(\frac{4}{3} h)[/tex]
= [tex]\frac{1}{3}(\pi )(\frac{16}{9}r^2 )(\frac{4}{3}h )[/tex]
= [tex]\frac{1}{3}(\frac{64}{27})(\pi r^2h)[/tex]
= [tex](\frac{64}{27})(\frac{1}{3} \pi r^2h)[/tex]
= (64/27)×(Volume of the small cone)
Since, volume of the small cone = amount of water in the cuo
= 6 oz
Therefore, amount of water contained in large cone = [tex]\frac{64}{27}\times 6[/tex]
= 14.22 oz
≈ 14 oz
Hence water in the large cone will be Option (2). 14 oz
Learn more about the volume of a cone here,
https://brainly.com/question/14933149?referrer=searchResults
Related Questions
What is 2x+5=25? I would like to know it step by step please.
Answers
Step-by-step explanation:
subtract 5 from 25 and it should look like this
2x=20
divide 2 and your is 10
Answer:
No problem! Well first off, x is 10.
Step-by-step explanation:
So you know that 2 times a certain number, plus 5, is 25. The first step to solving this problem is subtracting 5 from the total (25) to give you 20. This just makes it easier to find x, so you technically don't have to do it. So now, you know that 2 times a certain number equals 20 (because we got rid of the 5). Now, just divide your number (20) by 2, to get that x is 10. Let's check our answer.
2(10) + 5= 2520 + 5= 25
25= 25.
Works out!
Please like and mark brainliest!
Hope it helps!
PLeaseeee help
Solve the equation
5(- 3x - 2) = ?
Answers
Answer:
answer is for x value 2/3
Solve:4 to the 6th power times 4 to the fourth power
Answers
Answer:
4¹⁰
Step-by-step explanation:
You don do the figuring out want number is in each exponent you simply add because you have the same base and if its multiplication you actually do addition in which multiplication is repeated addition. same for division but subtraction instead because you are lowing the number :)
4 to the 4th power= 256
4,096+256= 1048576
Peter needs to build a fence around his small garden. The length of the fence can be no more than 10 ft., and he has 50 ft. of fencing that he can use. What are the possible dimensions of his garden?
Answers
Answer:
A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length
L.
In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,
W, to represent the side of fencing parallel to the 4th side or backyard fence.
Since we know we only have 80 feet of fence available, we know that
L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L
Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so
A = LW = L(80 – 2L)
A(L) = 80L – 2L2
This formula represents the area of the fence in terms of the variable length
L.
Step-by-step explanation:
it's in the answer
If 3x + 2 = 4, what is the value of 6x - 4?
2
8
0
-2
Answers
Answer:
0
Step-by-step explanation:
3x + 2 = 4
4-2 = 3x
2 = 3x
x = 2/3
2/3 x 6 = 12/3 = 4 - 4 = 0
What is the perimeter of the larger triangles
Answers
What is the answer to this equation?
-3y > -14
Answers
Answer:
y < 14/3
Step-by-step explanation:
You can immediately negate the negative from both sides by canceling the -1.
Divide both sides by 3, when you divide a < or > by anything you have to switch the sign it faces. So in this case
-3y > -14
=> 3y < 14
y < 14/3
What makes a mathematical statement an equation.
Answers
Answer:
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
Need help ASAP ASAP
Answers
Answer:
X = 70, y = 21
Step-by-step explanation:
53 + 6y + 1 = 6y + 54
6y + 54 = 180
180 - 54 = 126
6y = 126
126 ÷ 6 = 21
Y = 21
21 × 6 + 1 = 127
127 = 2x - 13
127 + 13 = 140
140 ÷ 2 = 70
X = 70
Opposite angles are congruent and consecutive angles are supplementary.
Hope that helped and have a great day!
Round the following to the nearest hundreds. 23457,45289,2458
Answers
I think it's 23500, 45300, 2500
A box contains 2 plain pencil and 2 pens A box contains 3 color pencils and crayons . One item from each box is chosen random What is the probability that a plain pencil from the first box and a color pencil from the second box are selected ? write your answer as a fraction in simplest form
Answers
make a probability tree it will really help so much
Macy’s is having a one-day 35% off special. If Sarah bought an item for $124, how much was the discount?
Answers
Answer: Mark me Brainliest :)
$80.92
Step-by-step explanation:
Given:
discount : 35%
Original cost : $124.50
Discount:
$124.50 x 35% = 43.575 ⇒ $43.58
Discounted price
$124.50 - 43.58 = $80.92
Answer:
$80.93
Step-by-step explanation:
I need help please
Answers
Answer:
distance = 10.6
Step-by-step explanation:
A's coords are (5, 6)
D's coords are (-2, -2)
So the total horizontal distance between A and D is:
5 + 2 = 7
...and the total vertical distance is:
6 + 2 = 8
Now use Pythagorean Theorem:
7^2 + 8^2 = distance^2
distance^2 = 49 + 64 = 113
distance = squareroot of 113
distance = 10.6
Answer:
Thing that I do is email the teacher and he or she will give me the answers try it yourself ok
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Help with this pls? I’m very lost thank u!!
Answers
Answer:
Description
Step-by-step explanation:
1. Factor 2x^2+11x+12 -> (2x+3)(x+4)
x=-4, -3/2
Both numbers are rational numbers as both can be expressed in the form in a quotient with integer values.
2. If discriminant is negative, then solutions are imaginary, meaning that the discriminant is less than 0, so you can set up this equation.
11^2 - 4(a)(12) < 0
121 - 48a < 0
a>121/48
The closest integer to 121/48 (~2.52) such that it satisfies the above conditions is 3, so the lowest value for a is 3.
Change the wording a bit, and type in your answer.
Model With Mathematics A photographer is
placing photos in a mat for a gallery show.
Each mat she uses is x in, wide on each side.
The total area of each photo and mat is
shown
Answers
Answer:
a. The possible dimensions of the total area are;
The width of the total area is (2·x + 8) inches
The length of the total area is (2·x + 10) inches
b. The dimensions of the photos are as follows;
The length of the photos are 10 inches
The width of the photos are 8 inches
Step-by-step explanation:
a. Given that the area, A = 4·x² + 36·x + 80
We get;
A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)
Therefore, the possible dimensions of the total area (photo + mat) are;
The width of the total area (photo + mat) = (2·x + 8) in.
The length of the total area (photo + mat) = (2·x + 10) in.
b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each
Therefore, we have the dimensions of the photos are as follows;
The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.
The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.
solve the equation 3x_2=7
Answers
Answer:
x = 3
Step-by-step explanation:
3x = 2 + 7
3x = 9
x = 3
+2 +2
——
3x=9
_____
3
X=3
The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between (for example: 1, 2)
Answers
Answer:
9, 10
Step-by-step explanation:
9² = 81
10² = 100
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Answers
Answer:
i dont get the question sorry
Step-by-step explanation:
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Answers
Answer:
A= 16 cubes²
Step-by-step explanation:
The length, or the base, is 4 units. The height of the shape is 2, and the width is 2. If we use the formula of volume, l·w·h, we can say that V=4x2x2. So, 4x2x2=16.
Please help me. Find mQ, mR, and mS please
Answers
Answer:
ALGEBRA Find each value. 23. x. SOLUTION: An inscribed angle of a triangle intercepts a diameter or semicircle if and only if ...
If the black square rotates at a rate of 2 inches per second, how long would it take for one full rotation?
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete.
Let us assume that the black square rotates in a circular part of radius 1 inch.
Therefore, in one full rotation the distance covered (θ) is the same as the perimeter of the circular part. Therefore:
θ = 2πr = 2π(1) = 6.28 inch
The time taken to complete one full rotation (t) is:
t = θ / v
t = 6.28 / 2
t = 3.14 seconds
can yall help thank you in advance
Answers
Answer:
Step-by-step explanation:
Perimeter of the deck = (d + 5) + (d + 5) + (d + 5) + (d + 5)
1). By grouping method,
Perimeter = (d + d + d + d) + (5 + 5 + 5 + 5)
2). Perimeter = Number of sides × Length of a side
= 4(d + 5)
3). Expression from problem 1,
Perimeter = (d + d + d + d) + (5 + 5 + 5 + 5)
= 4d + 20
= 4(d + 5)
Expression from problem 2,
Perimeter = 4(d + 5)
Bot the expressions are same.
Is (1,7) a solution to the inequality y < 3x + 3?
Answers
Answer:
yes
Step-by-step explanation:
because 7 is equal to 3 so the answer is correct
Sales Tax
A video game system cost $130 and the sales tax is
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Answers
Answer:
138.45
Step-by-step explanation:
130×6.5%=8.45
130+8.45=138.45
(-8) + 2 + (-11) - (-9) + (6) cuanto es plis?
Answers
Answer:
=−2
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
if there are these () around a negative number then it makes it even.
Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)? SHOW THE WORK PLEASE
Answers
9514 1404 393
Answer:
$1,322.05
Step-by-step explanation:
The compound interest formula is appropriate.
A = P(1 +r/n)^(nt) . . . principal P earning annual rate r for t years, compounded n times per year
You have P=1000, r=.07, n=12, t=4, so the balance is ...
A = $1000(1+.07/12)^(12·4) ≈ $1000(1.322054)
A = $1,322.05
Jennifer's ending balance is $1,322.05.
Logarithm
Step by step 1 ,3, and 5 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
Answers
Answer:
1) (1/3)log_7(10); 3) log_8(u) - log_8(v); 5) 3ln(x)
Step-by-step explanation:
1)
log_7(^3sqrt(10))
log_7(10^1/3)
log_a(x^b) = b * log_a(x); when x >= 0.
(1/3)log_7(10)
About 0.39443...
3)
log_8(u/v)
log_c(a/b) = log_c(a) - log_c(b)
log_8(u) - log_8(v)
5)
ln(x^3)
log_a(x^b) = b * log_a(x); when x >= 0.
3ln(x)
Multiply using the distributive property. Fill in each term of your answer in the boxes.
(x + 5)(x - 2)
Answers
Answer:
x^2 + 3x -10
Step-by-step explanation:
Try using the foil method or the box method.
math please help <<--- aaaa
Answers
Answer:
Step-by-step explanation:
[tex]H(t) = 14000(0.8)^{t +3}\\\\ = 14000*(0.8)^{t}*(0.8)^{3}\\\\=14000*(0.8)^{t}*0.512\\\\=7168(0.8)^{t}[/tex]
Answer:
it is 7168(0.8)t
Step-by-step explanation:
hope this helped