Answer:
The volume of material used in the pipe is 1507.2 cm³.
Step-by-step explanation:
As per the provided information in the question, we have :
➛ Height of wall = 30 cm➛ Diameter of inner wall = 15 cm➛ Diameter of outer wall = 17 cm➛ Radius of inner wall = 15/2 = 7.5 cm➛ Radius of outer wall = 17/2 = 8.5 cmHere's the required formula to find the volume of material used in the pipe :
[tex]\quad{\longrightarrow{\pmb{\sf{ V = \pi h\Big(Outer}^{2} - {Inner}^{2}\Big)}}}[/tex]
↝ V = Volume ↝ π = 3.14 ↝ h = height ↝ Outer = Outer radius ↝ Inner = Inner radiusSubstituting all the given values in the formula to find the volume of material used in the pipe :
[tex]\quad{\twoheadrightarrow{\sf{ V =\pi h\Big({Outer}^{2} - {Inner}^{2}\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =3.14 \times 30\Big({(8.5)}^{2} - {(7.5)}^{2}\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big((8.5 \times 8.5) - (7.5 \times 7.5)\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big((72.25) - (56.25)\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big(72.25 - 56.25\Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2\Big( \: 16 \: \Big)}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =94.2 \times 16}}}[/tex]
[tex]\quad{\twoheadrightarrow{\sf{ V =1507.2}}}[/tex]
[tex]\quad\star{\underline{\boxed{\sf{\red{ V =1507.2 \: {cm}^{3}}}}}}[/tex]
Hence, the volume of material used in the pipe is 1507.2 cm³.
[tex]\rule{300}{2.5}[/tex]
The volume of the material used is 1507.2cm^3
Data;
height = 30cminner diameter = 15cm; radius = 7.5cmouter diameter = 17cm; radius = 8.5cm π = 3.14Volume of a CylinderThe formula of volume of a cylinder is given as
[tex]v = \pi r^2 h[/tex]
But in this case, we have to find the difference between the outer radius and the inner radius.
[tex]v = \pi h(r_2^2 - r_1^2)\\[/tex]
Let's substitute the values and solve.
[tex]V = 3.14 * 30 * (8.5^2 - 7.5^2)\\v = 94.2 * (16\\v = 94.2 * 16\\v = 1507.2cm^3[/tex]
The volume of the material used is 1507.2cm^3
Learn more on volume of a cylinder here;
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Multiplying Polynomials distributive property
4e^4-4e^4(4e^4-4)
Answer:
hey this is your anwser -16e^8+20e^4
Step-by-step explanation:
hey i know we dont really know eachother but i think that girl in your pfp looks kinda cute i was wondering if you would like to get to know eachother better and get to be friends for a little bit and see if our relationship leads anywhere
are you intrested btw my name is mike and i am 15 years old i was borne march 2 2006
Oakland Middle School has 128 6th
graders, 121 7th graders, and 135
8 th graders. If there are 3 teachers
per 32 students, how many total
teachers are there?
Answer:
36 teachers
Step-by-step explanation:
total students=128+121+135=384
groups of 32=384/8=12
teachers=12x3=36
Please help on this math question!!
Answer:
x = 49
Step-by-step explanation:
The third side of the largest of the inner triangles:
= [tex]\sqrt{(7\sqrt{(33)^{2} }- (33)^{2}[/tex]
=[tex]\sqrt{528} =\sqrt{(16)(33)} =4\sqrt{33}[/tex]
The side that continues next to 33: x -33
Applying similarity property on right triangles:
[tex]\frac{33}{4\sqrt{33} } =\frac{4\sqrt{33} }{x-33}[/tex]
[tex](33)(x-33)=(4\sqrt{33} )^{2}[/tex]
[tex]33x-1089=528[/tex]
[tex]33x=528+1089[/tex]
[tex]x=\frac{528+1089}{33} =49[/tex]
Hope this helps
What is the expanded form of the expression ∑i=04i4? 04+14+24+34 14+24+34+44 02+42 04+14+24+34+44
The expression is an illustration of the summation notation
The expanded form of the summation notation [tex]\sum\limits^{4}_{i = 0} i^4[/tex] is 0^4 + 1^4 + 2^4 + 3^4+4^4
How to determine the expanded formThe summation notation is given as:
[tex]\sum\limits^{4}_{i = 0} i^4[/tex]
The above summation notation represents the sum of the numbers raise to the power of 4, from 0 to 4
So, we have:
[tex]\sum\limits^{4}_{i = 0} i^4 = 0^4 + 1^4 + 2^4 + 3^4+4^4[/tex]
Hence, the expanded form of [tex]\sum\limits^{4}_{i = 0} i^4[/tex] is 0^4 + 1^4 + 2^4 + 3^4+4^4
Read more about summation notation at:
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please help I need some points to pass class
Answer:
72 cm^3
Step-by-step explanation:
You multiply 3*4*6 which is 72.
Answer:
72 cubic cm
Step-by-step explanation:
Multiply the height, width, and length
In the triangle RST the measure of ZRST is 109°, and the measure of ZSTR is 28°.
What is the measure of ZTRS?
Enter your answer in the box.
Sony produces a video game for $22.50. They mark it up 40%. What is the selling price after the markup?
Answer:
31.5
Step-by-step explanation: because 22.50 plus 40%=31.5 i hope that helped
Which expression is a factor of 3y2 + 14 - 24
The population of the Maldives was 390 000 at the start of 2009. The population
growth rate is 5.6% each year. Estimate the size of the population at the start of 2015.
Step-by-step explanation:
start with 390 000x 5.6 x 6
A new community theater is being constructed with seating for at least 150 people. There are currently 4 sections that each seat 25
people. The owner plans to build b balcony seating areas that each seat 5 people.
What inequality can be used to represent the situation?
Drag and drop a number or symbol into each box to correctly state the solution
The inequality used to represent the situation is 5b + 100 ≥ 150
Inequality
Inequality is an expression that shows the non equal comparison of two or more numbers and expressions.
Let b represent the number of balcony seating areas that each seat 5 people.
The inequality for the situation is given by:
5b + 4(25) ≥ 150
5b + 100 ≥ 150
The inequality used to represent the situation is 5b + 100 ≥ 150
Find out more on Inequality at: https://brainly.com/question/24372553
ali goes for cycle ride. he starts at 3pm . he finished at 5 38pm .he has a total of 25 minutes rest during the ride. how long he spends cycling?
Answer:
two hours and thirteen minutes.
Step-by-step explanation:
count up from 3pm to 5pm to start with. That gives you two hours
we already have 38 minutes, now just subtract the 25 minutes he spent resting.
That leaves you with 2 hours and 13 minutes.
Correct me if I'm wrong I'm currently responding to this at a major lack of sleep lol
Plz help with my math problem plz
Answer:
x = 4√2
Step-by-step explanation:
if its a square, all sides similar of 4 units.
then the bottom and side length is 4 units
we need to find x, the diagonal.
formula: a²+b² =c²
: 4² + 4² = c²
: c = √16+16
: c = √32
: 4√2
Therefore x, the diagonal is 4√2
HELP meeeeeeeeeeeeeeeeeeeeee
X
< - 1)x
1
X
*+8
That’s it
Answer:2x^2-23x-8
Step-by-step explanation: ASSUMING IT MEANS THE AREA OF THE SHADED AREA: First you say that the area of the big circle
(4x-1)(x+8) minus (2x(x+4)) Then once you have that you just simplify, as shown on my paper:
McKenzie runs 1. 5 mi every 10 min. At this rate, how many miles does she run in 1 hour? Enter your answer in the box.
Answer:
15
Step-by-step explanation:
Brainly i need help on this question pls look at the image k12
1% of 300 is 3
So 64% of 300 is 192
========================================
Further explanation:
To take 1% of 300, we just chop off the extra zeros. So that's how I got 3.
To go from 1% to 64%, that's a jump of "times 64". Meaning you multiply that '3' by 64 to get 64*3 = 192.
Notice that 192/300 = 0.64 = 64% to confirm the answer.
Let #x) and g(x) be polynomials as shown below.
Answer:
Can someone help me with this to pleasee
Step-by-step explanation:
please can you help?
Answer:
1×24. 1×18
2×12. 2×9
3×8. 3×6
4×6
Step-by-step explanation:
Here is a little thing to help you remember.Factors are the numbers that you multiply to get the product.
Answer:
{1, 2, 3, 6}
Step-by-step explanation:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
How? Well:
24 : 1 = 24
24 : 2 = 12
24 : 3 = 8
24 : 4 = 6
24 : 6 = 4 and so on.
Factors of 18: 1, 2, 3, 6, 9, 18.
Just like how it was done for the factors of 24.
The shaded overlap, includes simultaneously all the numbers, that are factors of 24, AND 18, being them: 1, 2, 3, 6.
At Levi's restaurant and bakery, each cake is cut into 16 pieces.
Let c represent the number of cakes and p represent the total pieces of cake.
Complete the table using the equation p = 16c.
с
р
7
8
9
144
10
if 1/2 a number is 5 more than 1/7 of that number, what is the number?
Answer:
14
Step-by-step explanation:
1/2x = 1/7x + 5
1/2x - 1/7x = 5
7/14x - 2/14x = 5
5/14x = 5
x = 5 * 14/5
x = 14
3y=2x+15
Write in y=mx+b Form
Answer:
y = 2/3x + 5
Step-by-step explanation:
y = mx + b is slope intercept form
You have the equation in order but in order to complete it, you need to remove the 3 in front of the y.
#1: 3y = 2x + 15 (Remove the 3 by diving all the numbers on the opposite side)
Final Answer: y = 2/3x + 5
Answer: y=2/3x-5
Step-by-step explanation:
Rearrange 2x−3y=15 into this form
subtract 2x from both sides.
divide ALL terms on both sides by - 3
⇒ y=2/3x-5
HHHHEEEEELLLLPPPP ITSSSS DUEEEEE NOWWWW!!!!!!!
Answer:
I think its b
Step-by-step explanation:
because the circle is closed which makes the sign have a underline
[tex]4\leq 4[/tex] True or false
Answer:
false because it's the equal sign
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
This is true because 4 is less than or equal to 4
the smallest natural number that 360 must be multiplied by to get a square number
Answer:
10
Step-by-step explanation:
Step 1: do prime factorisation of 360
360=2 ×2×2×3×3×5
Step 2: make pair of 2 same digits
Step 3: now multiply unpaired no.
5×2=10
so your answer is 10
HELP WITH DIS QUESTION.
Which sample fairly represents the population? Select two options.
measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school
calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town
taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch
Answer:
To ensure that your sample is representative of the population, you will want to use a probability sample. A representative sample refers to whether the characteristics (race, age, income, education, etc) of the sample are the same as the population.
Step-by-step explanation:
Please help me with this quick!
the picture is above
I’ll make you brainly .
Answer:
It is B
Step-by-step explanation:
Simplify And find the value of the expression if x = 3 y=4
2x+2y-26+y
Answer:
-8
Step-by-step explanation:
2*3+2*4-26+4
6+8-22
14-22=-8
Maggie reads 13 of a book every 34 of a week. How many books does Maggie read per week? 14 of a book 49 of a book 214 books 4 books.
230 of a book 20 because just believe me
Answer:
4/9
Step-by-step explanation:
I took the quiz on K12 <3
Two sporting goods stores are having discount sales on basketballs. At one store, a basketball is on sale for 20% off the regular price of $24.95. the other store, the same kind of basketball is on sale for 25% off the regular price of 25.80 . What is the difference between the sale prices of the two stores?
Answer: $0.61
Step-by-step explanation:
1. Find the retail price of each store by multiplying the normal price by% discount to get a discount - and then opt out.
store A: 24.95 * 20% (or 0.20) = 4.99 (discount)
24.95 - 4.99 = 19.96 (sale price)
store B: 25.80 * 25% (or 0.25) = 6.45 (discount)
25.80 - 6.45 = 19.35
To find the sale price difference, subtract 19.96 - 19.35 = 0.61
