7. Find the volume of space consumed by the toilet paper without the center cylinder.
4cm
SHOW YOUR WORK!
*
14cm
12 cm
I
Volume
Answers
Answer:
7. 1583.36 cm³
8. 13,627.18 m³
Step-by-step explanation:
Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder
✔️Volume of Outer Cylinder:
Volume = πr²h
r = ½(12) = 6 cm
h = 14 cm
Volume = π*6²*14
Volume = 1583.36 cm³
✔️Volume of center cylinder:
Volume = πr²h
r = ½(4) = 2 cm
h = 14 cm
Volume = π*2²*14
Volume = 175.93 cm³
✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³
8. Volume of the solid = volume of the cone + volume of the cylinder
✔️Volume of the cone = ⅓πr²h:
r = 13 m
h = 14 m
V = ⅓*π*13²*14
V = 2,477.67 m³
✔️Volume of the cylinder = πr²h
r = 13 m
h = 21 m
V = π*13²*21
V = 11,149.51 m³
✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³
Related Questions
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answers
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
Answers
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
Answers
3.1 x 22 1/2 = 69.75 rounded is 70
Write and equation for a line that is parallel to the line 4y + 3x = 12
Answers
Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?
Answers
Answer:
Step-by-step explanation:
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter
Answers
EXPLANATION:
We know that the area of the rectangular balcony is 28 square meters, so lets check if our dimensions match the area:
7 meters • 4 meters = 28 square meters (correct)
So lets check the perimeter: 2 (l + w)
2 ( 7 + 4 ) = 22 meters
HOPE THIS HELPS
-SpaceMarsh
[tex](5^{3})^{-3}[/tex] pls
Answers
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which one is it?
a) <
b) =
c) >
Answers
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x.
Answers
Answer:
28=12+15+8+x
28=35+x
35-28=x
x=7
Which statement describes why the system has two solutions?
Answers
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. the surface area of the sphere
A. equal to
B. less than
C. greater than
Answers
What is the volume of the rectangular prism?
Answers
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.
Please give me the answer and show me how you solved it
Answers
Answer:
11/2 miles per hour
Step-by-step explanation:
that is the procedure above
what is the area of this rectangle?
Answers
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
How do I find RS? I've been having great trouble with questions like this recently.
Answers
To find the value of RS, you first have to solve for the variable x.
To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.
Solving this equation gives you x = 9.
You then substitute 9 into x - 4.
9 - 4 = 5.
This gives you RS = 5
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
:)
Help plsss 10 points
Answers
Please help me i would give more points but i dont have much (Giving brainlest)
Answers
Rearrange to make it easier!
5.3x + 3.6x + 9.8 - 8.14
8.9x + 1.66
B is the answer.
Answer:
Step-by-step explanation:
First, put them in order.
5.3x+3.6x+9.8-8.14
Add 5.3x and 3.6x
8.9x
Subtract 8.14 from 9.8
1.66
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
Answers
20 b: x = 12
17 c: 30
multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
Answers
__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
everything can be found in the picture
The value of log₃⁵ x log₂₅⁹ is...
Answers
Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
Answers
Answer:
Step-by-step explanation:
If f(x) = 3x + 2, what is f(5)?
Answers
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Let x=5
f(5) = 3*5 + 2
Multiply first
= 15+2
Then add
= 17
Please help I’ll give brainliest
Answers
Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
3. f(-4) - 3.9(-2) =
Answers
Answer:
Step-by-step explanation:
What is the correct ratio of each rational root of the polynomial Function
Answers
Answer:
factor of 6 and 5
Step-by-step explanation:
Which equation represents a line which is parallel to the line 7y-4x=-14
Answers
Answer:
sympathise or strategies
PLEASE HELP! Math (recursive sequences)
Answers
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
add 4312base5 3444base5 qunary number please add qunary
Answers
9514 1404 393
Answer:
13311₅
Step-by-step explanation:
Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).
Continuing in this fashion gives the sum 13311₅.
__
If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...
4311₅ +4000₅ = 13311₅
_____
The base-5 addition table is attached.
Help
Help
Help
Help
Help
Help
Answers
Answer:
105˚, 75˚
Step-by-step explanation:
<2 is 75˚ by same side angles of a transversal.
<1 is supplementary to <2 so 180-75 = 105˚
