A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π.

Answers

Answer 1

Answer:

188π in^2

Step-by-step explanation:

Surface area of the rocket = surface area of the cone + surface area of the cylinder

Surface area of a cone = πr(r+h^2+r^2)

r = 8/2 = 4 in

4π( 4 + 3^2 + 4^2) =

4π ( 4 + 9 + 16) = 116π in^2

Surface area of a cylinder = 2πrh+2πr^2

(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2

116 + 72 = 188π in^2


Related Questions

Plz help me with this math problem

Answers

A and C because their less than -2

Answer:

c and a because x = a smaller number

How would the numbers -10, 0, and 10 appear on a horizontal number line?

Answers

Answer:

-10  -9   -8  -7  -6  -5  -4  -3  -2  -1  0  1  2   3  4  5  6  7 8 9 10

Step-by-step explanation:

JUST ANSWER MORE POINTS THAN NEEDED

Answers

Answer: b

Step-by-step explanation:

Answer:

The answer would be option B: x < 95

Step-by-step explanation:

i have like 0 clue what this is. so can someone also explain it please.

Answers

Answer:

What they are asking is in which box do each of the following numbers go into.

[tex]\sqrt{2}[/tex] and [tex]\frac{\pi }{2}[/tex] would go in the 'Between 1 and 2' box.

[tex]\sqrt{5}[/tex] goes under the 'Between 2and 3' box.

([tex]\sqrt{3.5}[/tex])^2 is the exact same as 3.5, as the square root and square cancel each other out, so it goes in the 'Between 3 and 4' box.

Hope that this helps!

Find each angle or arc measure

Answers

Answer:

17

Step-by-step explanation:

34/2 because the measure of the arc is half of what it would normally be because it touched the other side

Make the expression below a perfect square by adding in a constant value: x^2+14x+_

Answers

[x^2 + 14x + (1/2•14)^2] - (1/2•14)^2

= [x^2 + 14x + (7)^2] - (7)^2

= (x+7)^2 - 49

If you need an explanation as to how, you can go ahead and ask

pls help me


Find the surface area of the object. ​

Answers

Answer:

3x3x2=18

3x3x2=18

3x3x2=18

1x3x9=27

18+18+18+28=81            81 cm

Step-by-step explanation:

what does standard devitation mean?

Answers

Answer:

a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

t1ts

someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !

Answers

Answer:

3, 20, 2, and 2.5

Step-by-step explanation:

For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.

On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12

3/12 is 1/4 so the first k is 3.

Second one y = k/x. x is 4 and is 5. So 5 = k/4

20/4 is 5, so the second k is 20.

A tea infuser in the shape of a right rectangular pyramid is 7.9 cm tall and has a base 3 cm long and 1.5 cm wide. To make the best tea, the infuser should be 80% filled with tea. What is the volume of tea needed to fill the infuser to 80% of its capacity?

Answers

Answer:

28.44 cm³

Step-by-step explanation:

Full volume is:

V = lwhV = 3*1.5*7.9 = 35.55 cm³

Volume of tea required:

35.55*80/100 = 28.44 cm³

Carl's class is collecting canned food for a food drive. If the class collects 3 2/3 pounds on the first day and 4 1/4 pounds on the second day, how many pounds of food have they collected so far?

Answers

Answer:

7 11/12

Step-by-step explanation:

3 2/3 + 4 1/4 = 3 8/12 + 4 3/12 = 7 11/12

Point P is located at (6, -4), while point Q is located at (6, 4). How are the two points related?


HELP ME PLZZZZZZZZ!!!!!

Answers

Answer:

They have the same x value.

Step-by-step explanation:

PLEASE Help I need the area in cm2 THanks Have a nice day!!

Answers

Answer:

132 cm^2

Step-by-step explanation:

Area of trapezoid = 1/2 ( (7 + 19) * 8) = 26*4 = 104 cm^2

Area of rectangle = 4 x 7 = 28 cm^2

104 cm^2 + 28 cm^2 = 132 cm^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the area of a rectangle with side
lengths x - 4 and 5x + 7?

Answers

(x-4)(5x+7)
expand this
= 5x^2 + 7x - 20x - 28
= 5x^2 - 13x - 28 units squared

Simran used a simulation to predict the number of days of rain in his town. A number 1 or 2 indicates a week in which it rained. Numbers 3, 4, or 5 indicate a week in which it did not rain. The results of the simulation are shown above. What is the experimental probability that it will rain in Simran’s town in at least 1 of the next 4 weeks?

Answers

Answer:

The answer that I got for mine was 40%

Step-by-step explanation:

This is because there were 10 trials and 4 of the trials had rain. so 40 percent of the trials had rain. Hope it helps!

A class has 16 boys and 20 girls. A prefect is to be chosen from the class. If
each student is equally likely to be chosen, calculate the probability that the
selected prefect is:
(a) a boy (b) a girl

Answers

Answer:

a) 16/36 b)20/36

Step-by-step explanation:

16 + 20 = 36

36 = how many people are in the class all together

Sorry if it is wrong

1.35b = 40.5
what is the value of b ?

Answers

Answer:

b=30

Step-by-step explanation:

how many solutions does the nonlinear system of equations graphed below have?

Answers

Answer:

A. Zero

Step-by-step explanation:

The upside down parabolic graph has no roots because it not linear

If the measure of angle 5 is 57 degrees, what is the measure of angle 2?

Answers

Answer:

3

Step-by-step explanation:

Angle 1 is a supplement of angle 2, and m angle 1 is 123 degrees. Angle 2 is a complement of angle 3. Find m angle 3.

12345678910112131415161718192021212223242526272829303132333435363738394041424344454647484950

Answers

Answer: what what! Confused

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Help pleaseeeeeeeeee

Answers

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

Check

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

CAN SOMEONE PLEASE HELP ME!!! I REALLY NEED IT

n = ___

Answers

Answer:

i got n =2

Step-by-step explanation:

setted up a proportion, so 4/n+6 = 9/n+16 and solved from there and got 2.

how many 2 digit numbers are multiples of five

Answers

Answer:

18

Step-by-step explanation:

Hope it helps plz give brainlies! ;D

kim rented skates for h hours.The rental free was $2.50 per hour. she paid a total a 2.5h=20 b 1.5h=10 c 1.5h=20 d 2.5h=10l of $20

Answers

Answer:

2.5h=20

Step-by-step explanation:

:D

Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2

Answers

i think its 1,560 because you have to multiple the top which is 10 to the bottom but the bottom one is not the same shape as the top and for the middle you multiple 12 because their the same shape and for the bottom their the same shape as well.

PLEASE HELP NOT WILL HELP ME :,(
I'll make brainliest and give extra points

The following cone has a height of 4 inches and a volume of 12π. 4 in. What is the radius of the cone?​

Answers

Answer:

3 in.

Step-by-step explanation:

volume = ⅓πr²h

⅓πr²h=12π

r²h=36

r²=9

r = 3 inches

I dont know what to ask im just posting this question so the questions I asked are equal to how much friends I have :-:

Answers

Wassup. I'm back from the dead. Satan revived me.

CALL ME BY YOUR NAAAAAAAAAAAAAAAME

I need help quick. ASAP.​

Answers

It’s 1/2 (now I’m going to write random stuff because it says it has to be at least 20 letters jehdhsjdbdjeiksjejdi)

Which is equivalent to (15x2 + 3x – 6)-(15x2 + 3x + 6)?

Answers

Answer:

creo que es hay 15también eso yo pienso

The diagram beloon shows a cup in the shape of a right circular conse and yone of its measurements,
cm
10 cm
Which of the following is closest to the volume, in cubic centimeters, of the cup?

Answers

Answer:

option c

volume of right circular cone=1/3 *(pi)* r*r *h

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