Cole is building a model rocket in science class. He selects the rocket parts from a set of solid cylinders and cones made from metal. Cole wants to build a rocket with the dimensions shown. For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. Will Cole’s rocket meet the requirement for launch?
Part A
What will be the total length of the assembled rocket? Explain how you found your answer.
Part B
What is the approximate volume of the rocket. Use 3.14 for π. Explain.
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pound per cubic centimeter, will Cole be able to launch his rocket? Explain.
Answers
A.
30 since 25 + 5 = 30
The maximum lift-off weight of each rocket is 10 pounds thus, Cole’s rocket doesn't meet the requirement for launch.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
Part A
The total length of the assembled rocket will be the length of the cone and the cylinder.
Height of the cone
[tex]\sqrt{l^{2} -r^{2} } \\\\\sqrt{5^{2} -4^{2} } \\[/tex] = 3 cm
The total length of the assembled rocket = 25 + 3 = 28cm
Part B
The volume of the rocket is the combined volume of the cone and cylinder.
= [tex]\pi r^{2} h[/tex] + 1/3[tex]\pi r^{2} h[/tex]
= 4/3 [tex]\pi r^{2} h[/tex]
= 4/3 × 3.14 × 16 × 28
= 1875.62 cubic cm
To convert cm into pound
1875.62 cubic cm = 4.135 pound
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pounds per cubic centimeter.
Then 1875.62 cubic cm × 0.006
= 11.253
For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.
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Related Questions
Get correct answer and explain how you got it for brainiest and 20 points.
Answers
Answer:
25 un²
Step-by-step explanation:
Area of trapezoid =
1/2(4+6)*2 = 10 un²
Area Parallelogram =
1 x 6= 6 un²
Area triangle =
1/2(6x3) = 9 un²
Total area = 10 un² + 9 un² + 6 un² = 25 un²
Pictures below.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help me please .....
Answers
Answers:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
find the scale factor. simplify your ratio to lowest terms. the original triangle is triangle lmn and the new one is triangle xyz
Answers
Answer:
5:2
Step-by-step explanation:
Triangle LMN's base length is 15 and triangle XYZ's base length is 6. Since they are both base lenghts, you can just use those numbers in a ratio and simply.
15:6
Divide both sides by 3 and you get 5:2!
solve the equation and round to the nearest hundredth x: 6(4x+5)=3(x+8)+3
Answers
x = -0.11
step-by-step explanation:
6(4x+5)=3(x+8)+3
24x+30=3x+24+3
24x+30=3x+27
-3x -3x
21x+30=27
-30 -30
21x=-3
/21 /21
x = -0.111111 repeating
x = -0.11
Answer:
x = -7.(3)
Step - by - step explaination:
Will get Brainliest plz help
Answers
Answer: B
Step-by-step explanation:
An equation is y=mx+b for regular equation stander form. C would automatically be eliminated that leaves you with A and B... a you don't have a y intercept so you would start at zero.
You have to pay an entrance fee plus any other souvenirs you would want. so the entrance fee would be the y intercept in "B"
Step by step explanation
Tim and Stacy are volunteers who are helping with the town marathon. They're expecting 260 participants, but only 156 has have registered so far. What percent of the expected marathon participants have not registered for the competition?
1. 16.7%
2 .260%
3. 45%
4. 40%.
(whoever answers first will get a brainleist, a thanks, and a 5 star review)
Answers
Answer:
45%
Step-by-step explanation:
hope it helps,
(0.a * 10) - (0.a ÷ 10) = 6.93
Answers
Answer: please clarify
Step-by-step explanation:
please help i have stuff to do
Answers
A trapezoid was broken into a triangle and rectangle.
The area of the rectangle is cm2.
The area of the triangle is cm2.
The area of the trapezoid is cm2.
Answers
Answer:
Step-by-step explanation:
Base x Height = Area
10x12=120 the area of the rectangle is 120
area of the triangle is 28
sorry but I don't know the trapezoid
The area of the rectangle is 120 cm².
The area of the triangle is 24 cm².
The area of the trapezoid is 144 cm².
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
We know, the area of a triangle is (1/2)×base×height and the area of a rectangle is (length×width).
Therefore, From the given information,
The area of the triangle is, (1/2)×4×12 = 24cm².
And the area of the rectangle is, (10×12) = 120 cm².
Therefore, The area of the trapezoid is,
= (24 + 120) cm².
= 144 cm².
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CAN SOMEONE HELP ME I DONT UNERSTANND THIS PROBLEM
Answers
Answer:
Step 2 B
Step-by-step explanation:
You are supposed to solve the parentheses and exponents first.
What is the area of the rectangle? square feetWhat is the volume of a rectangular solid that is 6 feet long, 4 feet wide, and 2 feet high? 24 cubic feet 26 cubic feet 46 cubic feet 48 cubic feet
Answers
The area is 24 cubic feet and the volume is 48 cubic feet.
Step-by-step explanation:
Area is length x width so 6 x 4 is 24
Volume is length x width x height so
6 x 4 x 2 is 48
Answer:
48 cubic feet
Step-by-step explanation:
v= l×w×h
v = 6×4×2
v = 48
Write a word problem represented by 1/5 ÷ 4. Explain or show how to find the answer.
Answers
1/5 divided by 4 =?
= 1/5 x 1/4
= 1/20
1/20 in decimal form is 0.05
Answer:
A family was running late to a party. When they came, there was a fifth of the cake left. If there are 4 members of the family, what fraction of the cake would each person get?
one fifth = 1/5
(1/5) / 4 family members = 1/20 of the cake for each person
What is the range of the function f(x) = 2 – 2 when the domain is {0, 2, 4}? O {-1, 2, 14} {3, 6, 8} {-2, 2, 6) All real numbers
Answers
Answer:
F = 0
Step-by-step explanation:
F(x) = 2 - 2
fx/3 = 0/x
f=0
PLEASE ANSWER ASAP WILL GIVE YOU BRAINLIEST
Answers
Answer: R^1 is at (-3,0) S^1 is at (-2,2) U is at (-4,2) T is at (-3,4)
Step-by-step explanation:
MrLinty pls help
What is the value of x?
Answers
Vertically opposite angles are equal. So,
5x + 12 = 6x - 10
=> 12 + 10 = 6x - 5x
=> 22 = x
what is the value of k?
Answers
Answer:
I think the answer is 2.. I'm sorry if its incorrect.
Step-by-step explanation:
A soccer team has two sports coolers that hold 5 gallons each coach Fenimore has 12 fluid oz cups for the team to drink from. How many 12 fluid ounce cups can be filmed.
Answers
Answer:
53
Step-by-step explanation:
find how many fluid answers there are total, then divide by 12
SHOW YOUR WORK
128 fluid ounces = 1 gallon
128 x 5 = 640
640/12 = 53.33333
ANSWER 53
PLZ HELP ME!!!! THIS IS TIMED!!!! DO NOT ANSWER IF YOU DO NOT KNOW HOW TO SOLVE THIS!!! I WILL MARK THE BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!!!!!!!
Answers
How do you find the radius for a sphere?
10 Points shall be awarded for answering!
Answers
Given area: r = √[A / (4 * π)],
Given volume: r = ³√[3 * V / (4 * π)],
Given surface to volume ratio: r = 3 / (A/V).
Some equations based on what is given :)
Please answer!
If Shayla builds a sand castle with dimensions twice as large as the dimensions of Shelly's winning castle, will Shayla need twice as much sand? Provide and argument to justify your response.
pls dont forget to explain why
Answers
Answer:
I would say no
Step-by-step explanation:
I say no because Shayla's dimensions are twice the size does not mean that there is a need for double the amount of sand but I could be wrong.
Answer:
No
Explanation:
Textbook answer: She will need 8 times as much sand. In any of the volume formulas, if the dimensions are all doubled, the volume increases by a factor of 8.
My answer: double = 2. Cubed = ^3. 2^3 = 8
How do you write 84% as a fraction?
Answers
Answer:
Step-by-step explanation: 21/25
Answer:
it would be 84/100 which would be 21/25 simplified
Step-by-step explanation:
HELP ME PLEASE IM BEGGING
Answers
Hope this helps :p
Answer:
Step-by-step explanation:
what's the problem
help would be appreciated. thanks
Answers
The two triangle bases are 12 but together 24. The bottom is 48 and the two other sides are 30 but together 60.
brainiest only if you get it right
The Sun takes about 200 million years to complete one revolution around the center of the Milky Way galaxy. Which of the following represents 200 million?
A 2×106
B 2×109
C 2×107
D 2×108
Answers
Answer: so I have no clue what is the answer
A = 212
B = 218
C =214
D = 216
The correct representation of 200 million will be equal to 2 × 10⁸. Hence, option D is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the set of instructions given in the question,
The Time taken by earth to complete one revolution of the milky way galaxy is 200 million years.
One million is written as :
Then 200 million will be written as,
200 × 10⁶ or,
2 × 10⁸.
To know more about arithmetic operations:
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PLZ HELP AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Answers
Answer:
216
Step-by-step explanation:
The number of smaller unit cubes that could fit inside the bigger one could be calculated by dividing the Volume of the larger cube by the volume of the smaller cubes.
Volume of bigger cube:
[tex](1\frac{1}{2}) ^3 = \frac{27}{8}[/tex]
Volume of smaller cube:
[tex](\frac{1}{4} )^3=\frac{1}{64}[/tex]
[tex]\frac{27}{8} /\frac{1}{64} =\frac{27}{8}*64=216[/tex]
Answer:
Step-by-step explanation:
Take 1 1/2 * 1 1/2 * 1 1/2 = 27/8 (3.375) in which would be the volume and then all you have to do is put 1/4 into 27/8 how many overtimes (3 3/8)
(I would wait until you have more answers because I'm not that great at math but I'm here to practice)
Calcuate the distance Tom rides his bike if he rides 5\6 mile of each 5 days
Answers
The multi-stage fitness test (MSFT), also known as the beep test, bleep test, PACER (Progressive Aerobic Cardiovascular Endurance Run), Pime, they are cautioned. A second caution ends the test for that runner. The number of shuttles completed successfully is recorded as the score of that runner. The score is recorded in Level.Shuttles format (e.g. 9.5).
Answer: 4
Step-by-step explanation:
5/6*5= 4.167=4
Help me I was absent
Answers
Answer:
m = 55
Step-by-step explanation:
180° - 125° = 55°
I hope this will be helpful
PLS DO NOT USE THIS FOR POINTS. BRAINLIEST AND 100 POINTS
Question 2 (Essay Worth 10 points)
(08.02 MC)
The number of story books owned by eight classmates is shown below:
8, 9, 9, 7, 8, 6, 9, 8
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answers
Shane's family traveled 7/10 of the distance to his grandfather’s house on Saturday. They traveled 2/3 of the remaining distance on Sunday. What fraction of the total distance to his grandfather’s house was traveled on Sunday?
Answers
Each outer wall of the Pentagon in Washington D.C , measures 921 feet .What is the measure of each angle made by the Pentagon’s outer walls?
Answers
Answer:
921 × 5 = 4605
Step-by-step explanation:
Just Multiply the outer wall measurement(921) times how many walls there are.
Sorry if wrong but hope this helps