A cylinder and a cone are shown below.
-
12 in.
-
12 in.
Volume of cylinder = 2512 in.
Volume of cone = 1256 in.
Which explains whether the bases of the cylinder and the cone have the same area?
O The bases have the same area because the heights are the same.
O The bases have the same area because the volume of the cone is 5 the volume of the cylinder.
O The bases do not have the same area because the volumes are not the same.
O The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given
the same heights.
Answers
Answer:
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Step-by-step explanation:
Recall :
V1 = volume of cylinder = πr²h
V2 = volume of a cone = 1/3πr²h
From the diagram, both have height, h of 12
Radius = r
V1 = 2512 in
V2 = 1256 in
From the ratio :
2512 = πr² * 12
1256 = 1/3πr² * 12
12 cancel out as well as r² and π
If the bases have the same area `, then 2512 should be equal to (1256 * 3)
2512 in ≠ 3868 in
Answer:
The answer is D
Step-by-step explanation:
I got it right on my unit test
God bless
Related Questions
Find the product of the polynomial (2x^3+3) (x+4)
Answers
(2x^3 + 3) (x+4)
2x^3(x+4)+3(x+4)
=2x^4+8x^3+3x+12
Jovan spent 2/3 of his savings on a watch. He also spent of 1/5 his savings on a bag. (a) What fraction of his savings was left? (b) How much did he spend on both the items? Tell me the steps to get the answer please, Thanks... Have A Good Day/ Night.. :D
Answers
Answer:
2/15
13/15
Step-by-step explanation:
Amount spent = sum of amount spent on watch and bag
[tex]\frac{2}{3} + \frac{1}{5}[/tex]
[tex]\frac{10 + 3}{15}[/tex]
= [tex]\frac{13}{15}[/tex]
Fraction left = 1 - amount spent
1 - 13/15
2/15
In a recent survey, 8 people were each asked the number of times they have been on a airplane. Here is a list of the responses.
16,26,12,9,17,26,11,14
Find the range of the data set.
Answers
Answer:
17
Step-by-step explanation:
Always arrange numbers in order from least to greatest.
To find the range you take the MAXIMUM # - MINIMUM #.
MAX # = 26
MIN # = 9
26 - 9 = 17.
A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Camden grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answers
Answer:
The ladder will reach a height of 9.8 foot
Step-by-step explanation:
Given
Initial Position
[tex]L = 25ft[/tex] --- Length of the ladder
[tex]h = 15ft[/tex] --- height against the wall
New position
[tex]L = 25ft[/tex] --- Length of the ladder
[tex]B = 3ft[/tex] --- 3 feet farther from the wall
Required
Determine the new height the ladder will reach
The question is illustrated using the attached image.
Where
[tex]\triangle ABC[/tex] represents the initial position of the ladder
[tex]\triangle DBE[/tex] represents the new position of the ladder
The new height is represented with BD
Using Pythagoras theorem on [tex]\triangle DBE[/tex]
[tex]DE^2 = BE^2 + BD^2[/tex]
[tex]BE = BC + CE = 20 + 3 = 23[/tex]
[tex]BD = x[/tex]
[tex]DE =25[/tex] --- length of the ladder
So, the expression becomes
[tex]25^2 = 23^2 + x^2[/tex]
[tex]625 = 529 + x^2[/tex]
Collect like terms
[tex]x^2 = -529 + 625[/tex]
[tex]x^2 = 96[/tex]
Take positive square roots of both sides
[tex]x = \sqrt{96[/tex]
[tex]x = 9.8ft[/tex] --- approximated
Answer:
9.8 FT
Step-by-step explanation:
its right
Find the coordinates of the point D (6, - 3) after the transformation (x,y)
x + 3, y - 2).
(-9,5)
0 (-9,-5)
(9,-5)
(9,5)
Answers
6+3=9
And for Y, you subtract 2:
-3-2=-5
Your coordinates are (9,-5)
he levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.
Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury?
0.05 – 0.1y = 0.12 – 0.06y
0.05y + 0.1 = 0.12y + 0.06
0.05 + 0.1y = 0.12 + 0.06y
0.05y – 0.1 = 0.12y – 0.06
Answers
Answer:
i think it is c but i don't know
Step-by-step explanation:
give me a brainiest
stan's test score was 60% on a science test.if there were 35 items on the test,how many did stan miss
Answers
Answer:
21 correct 14 missed
Step-by-step explanation:
21/35 = .6
.6=60%
Answer:
14
Step-by-step explanation:
21 is 60% of 35
35 - 21 = 14
your answer is 14 :)
have a great day^^
please let me know if you didn't get my explanation
Simplify (-6/7 + 18/28 ) x -7/5
Answers
A company offers a bonus retirement plans for its executive employees. The
employees are presented with 2 options.
Option #1: They will start an account $5000 and each year earn 25% on the money
in the account. (i.e. a growth factor of 1.25)
Years Warked
2
Retirement Account $5000.00 $6250 00 $781250
Option #2: They will start an account $5000 and each year and each year there after
continue to add $5000 to the account.
Years Worked
Retirement Account 55000.00 $10,000 $15.000
Which retirement option would be worth more at the end of 20 years?
Option #1
Option #2
They are both equal at 20 years,
Answers
Answer:
option 1
Step-by-step explanation:
Option 1 . the value after 20 years can be determined using this formula
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
5000 x (1.25)^20 = $433,680.87
Option 2 = 5,000 x 20 = $100,0000
Option 1 has a higher value in 20 years
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
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7.5
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L
29
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a
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Answers
Answer:
2+2=4
Step-by-step explanation:
if I just want to be here
PLS I NEED HELP BRANLIEST FREE
the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing.
Answers
Step-by-step explanation:
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=9÷3=3
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=12cmAlice has 14 baseball cards. Jason has twice as many card as Alice. Tom has 6 fewer cards than Alice . How many baseball cards do Alice , Jason , and Tom have altogether.
Answers
Answer:
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Step-by-step explanation:
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Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.
Answers
Answer:
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Step-by-step explanation:
Giving the following information:
Hourly rate= $7.25
Total earned= $348
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Quais são todos os possíveis pares de fatores quando o produto é 24?
Answers
Answer:
Todos esses outros números são divisores e os fatores de 24 são 2 e 3. Para fatorar um número devemos dividi-lo por números menores começando pelo 2 e ir aumentando, até restar 1.
Step-by-step explanation:
2x12
3x8
4x6
estos son todos los pares de factores de 24
CAN SOMEONE PLEASE HELP ME I NEED IT TO PASS THIS CLASS
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3 is 48
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Its simple
Graph the following:
A) y=2|x|+3
B)y=2|x|+3
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A trapezoid has an area of 50 square units. The lengths of the bases are 10 units and 15 units. find the height.
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Answers
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
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https://brainly.com/question/25429247
#SPJ5
Round each weight to the nearest ounce
Answers
Answer:
1
4
4
2
Step-by-step explanation:
well 1.35 so when you round if its 50 you would round up and if its any lower you round down.
HELP NEEDED HERE ASAP
Answers
Answer:
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Step-by-step explanation:
Plug in 6 in place of x in the expression
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Answer:
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Step-by-step explanation:
We are given the expression 1/2x + 2 and are asked to find the value when x = 6.
To solve, all we need to do is to substitute x with 6 :
1/2(6) + 2
Multiply 6 by the 1 in the fraction :
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3 + 2
Add :
5
help please thanks to whoever answer these will get brainliest and DONT SEND A LINK OR STEAL MY POINTS IF YOU DO I WILL REPORT YOU!!!
Answers
Answer:
All is in the picture
At srinagar , the temperature was -4°C on Monday and then it dropped by 2°C on tuesday. what was the temperature of Srinagar on Tuesday. ? On Wednesday it rose by 5°C . what was the temperature on this day
Answers
Answer:
temperature on Monday= -4°C
temperature on Tuesday= -4-2°C = -6°C
temperature on Wednesday = -6°C + 5°C = -1°C
Step-by-step explanation:
hope it helps ❤️
Explanation
HELP PLSSS!!! ASAP I just want to make sure my answer is right
Answers
Answer:
your answer is correct
but in the third line 4.5×0 is wrong
it's 4.5×1
How do you solve this
Answers
Answer:
1
Step-by-step explanation:
use the 3d equation because x = 1
1-1+1 = 1
Which of the following is the maximum amount each year you can put into an IRA before you are fifty?
$3,000
$8,000
$2,000
$5,000
Answers
Answer:
$3,000
hope this helped! :)
help me pls
will give brainliest
Answers
Answer:
22 qt
Step-by-step explanation:
1 gallon = 4 quart
5 × 4 + 2 = 22 qt
Answer:
22 qt
Step-by-step explanation:
1 gallon = 4 qt
5 gallon = 20qt + 2 =22
Find the value of x to the nearest tenth.
Answers
9514 1404 393
Answer:
14.7
Step-by-step explanation:
The law of sines tells you side lengths are proportional to the sine of the opposite angle.
x/sin(46°) = 7/sin(20°)
x = 7(sin(46°)/sin(20°)) ≈ 14.7
The value of x is about 14.7.