Question

When baking a cake, you have a choice of the following pans:
a round cake pan that is 2 inches deep and has a 7 inch diameter
a 6 inch × 9 inch rectangular cake pan that is 2 inches deep
a. Which of these pans has the larger volume? Justify your answer.
b. Excluding the bottom of the cake, what is the surface area of each cake that will be covered by frosting?
Justify your answer

Answer 1

V = pi * r^2 * h
V = 3.14 * 3.5 * 3.5 * 2
V = _________ cubic inches of the round pan

V = L * W * H
V = 9 * 6 * 2
V = ________ cubic inches of the rectangular pan

A = pi * r^2
A = L * W

Answer 2

Thank You!!!!

Answer 3

You're welcome.

I just realized you need to do a further calculation for b. I only figured the frosting needed for the top. You need to figure the sides of the cake also.

Answer 4

Ms. Sue can you help me with the further calculation for b? I cannot figure out how to do it. Thanks!

Answer 5

I need to know the answer right now.

Answer 6

me too so confused

Answer 7

;-; this don't HELPPPPPPPPPP
T-T

Answer 8

B
C
A
D
D
B
C
A
D
D
A
C
D
A
D
C
C
D
the rest on ur own

Answer 9

you are wrong

Answer 10

the correct answers are

a
c
b
c
c

Answer 11

Im afraid ms sue passed away in december 2019. Be respectful please.

Answer 12

the miss sue who helped out u guys was a different person. cause they did not have the little emoji

Answer 13

wouldnt ms. sue be right except for last part on a it should be time 7 not 2 but correct me it i am wrong

Answer 14

omg no i am so wrong 7 is the diameter and 2 is the depth

Answer 15

Guys i will give answers right after i do the test now! search jiskha math help amelie i will help you with answers and other stuff:) i also have a civics help on jiskha too!

Answer 16

No one's helpingg

Answer 17

Guys this is pretty simple. Let me try to break it down. i am NOT going to be writing down the whole answer because i do not want to encourage cheating! So, you use the formula 9•6•2= 108 in^3 for the rectangular pan, and the formula 3.14•r^2•h D=7 so r=3.5 in 3.14• (3.5^2)•2 = 76.97 in^3. This is super simple! I hope i could be at some help. You guys should do more book work (if your a connexous student) It help a lot! Have a good weekend!

Answer 18

@Smart Person you aren't smart, you are annoying

Answer 19

@trans girl yooo another trans girl here

Answer 20

i’m confused i don’t need the answers just help please

Answer 21

the real one has the teacher emoji the fake one dosent so pay respect because the real ms sue died

Answer 22

just su

Answer 23

yall are so annoying just give answer

Answer 24

I don't get why the real Ms. Sue said you should multiply the radius twice. Can someone tell me why?

Answer 25

that was the real Ms.sue

Answer 26

I'm sad

Answer 27

pls tho this test is so past due ｡ﾟ･（>﹏<）･ﾟ｡

Answer 28

So the right answer would be a??

Answer 29

yall are literally saying anything but answers. if you don't know the answer don't even bother commenting.

Answer 30

Hey Inspire Connections Academy Students. Coming on this site and asking for answers is cheating. The teachers at Inspire google most answers and you will be caught and given a zero.

Answer 31

@Sadie @trans girl im also a trans girl noice

Answer 32

@Sadie, @trans girl, @another one, I'm a trans boy , add my dc Maxrcy#3649

Answer 33

I’m trans to I go by they then or he they

Answer 34

ms sue is not dead bro

Answer 35

bruh

Answer 36

Soooo.... answers?

Answer 37

Omg....No one has given actual answers yet!? *sighs* I guess I'ma have to be the one to do so...

1) A. 1,361.2 cm
2) B. 86.1 yrd
3) D. 57.5 cm
4) C. 23.236 in
5) B. 221.56 m
6) D. 13 in
7) A. 452 in
8) B. 95
9) D. Cylinder
10) D. 24.0
11) C. 516 in
12) C. 2.384 in
13) B. 371.1 cm
14) C. 119 ft

For the rest, I don’t mind if you copy and paste my answer, you have my full permission to do so!

15) The rectangular pan would have a larger volume. Rectangle: 114 inches total. Round: 82.42 inches total.

16) I know that two sides are 2x9=36 square inches and the other two sides are 2x6=24 square inches. So I need to add 36+24 to get 60. Therefore, the answer is 60 inches.

17) Horizontal would be a square in the horizontal plane, its side is the same as the cube's. Vertical would also be a square in the vertical plane, its side is the same as the cube's. So...the two shapes are the same.

I really hopes this helps everyone, like...no joke, I got 10% just so I could help you guys.

(Also...if you need a friend on roblox, my username is TheLostSoul_36)

Cya! 😇

Answer 38

bet my user iiwvvy

Answer 39

Dont use moon souls answers! You will get 2/18!!!!!!

Answer 40

What? Are you sure? cuz I used the answers that they show after you get the test wrong. Also, If you only used the letters...well then..your a dummy, cuz you can't just go by the letters.

Answer 41

@reverse one, sameeee. We have found our brethren

Answer 42

*sigh* tsk, tsk pity for my students, always wrong as ever, and i even took moonsouls words! i am ashamed of you moonsoul, as i have now suffered a bad grade, you thought it was nice to "help" others, but you didnt think of the long run, and for that you have called me.
1. 1,618.2 cm2
2. 99.4 yd2
3. 136 cm2
4. 36.424
5. 467.36 m2
6. 13 in
7. rational number
8. 17.7
9. 125
10. 95
11. rectangular prisim
12. 24.0
13. 516 in2
14. 64
15. 365.8 in2
16. 400 in2
17. 1,055.04 ft3
18. 171 ft3
this is of March 8th 2023, and i hope this helps you all, todays lesson is over as class is now dismissed, now i have a date with dimitri to attend to, good day everyone.

-Professor Byleth

Answer 43

@Byleth
Wait...my answers...were wrong...?

.....

I'm so sorry everyone...I failed you guys...please forgive me.

...

AND ALSO BTW NO ONE IS ALLOWED TO BE ASHAMED OF ME EXCEPT MYSELF! ONLY I CAN BE ASHAMED OF ME >:(

Answer 44

How does the rectangular pan equal to 118

Answer 45

bro what are the actual answers☠

Answer 46

Ether Byleth or me has the actual answers, one of us.

Ey, @fuetesluvr69, how about you take the test (ether using my answers or Byleth's answers) and tell us if me or byleth is correct. It will help any future users that visit this site!

Answer 47

you obviously dont have to if you dont want to.

Answer 48

i need the answers for math 7 measurement test can anyone help with that ive been stuck on it for a bit

Answer 49

Yes, I can help you with that. Please provide me with the questions, and I'll do my best to assist you.

Answer 50

Hey bot!

Answer 51

Hello! How can I assist you today?

Answer 52

Hmm...I don't know...

Answer 53

Well, if you have any questions or need any help with something specific, don't hesitate to ask!

Answer 54

ok

Answer 55

Let me know if there's anything you need assistance with!

Answer 56

When baking a cake, you have a choice of the following pans:

⋇ a round cake pan that is 2 inches deep and has a 7 inch diameter
⋇ a 6 inch * 9 inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer

Answer 57

To compare the volume of the two pans, we need to use the formula for the volume of a cylinder and rectangle, respectively.

The formula for the volume of a cylinder is: V = πr²h, where r is the radius of the cylinder and h is its height.

The formula for the volume of a rectangular prism is: V = lxwxh, where l is the length, w is the width, and h is the height.

Using the above formulas, let's find the volume of each pan:

Volume of the round cake pan: V = π(3.5)²(2) ≈ 76.97 cubic inches.

Volume of the rectangular cake pan: V = (9)(6)(2) = 108 cubic inches.

Since 108 cubic inches is greater than 76.97 cubic inches, the rectangular cake pan has the larger volume. Therefore, the 6 inch x 9 inch rectangular cake pan is the better option if you want to bake a larger cake.

Answer 58

o thanks

Answer 59

You're welcome! Let me know if you have any other questions.

Answer 60

where did you get 3.5 from

Answer 61

The radius of the round cake pan is given as 7 inches. Since the diameter is twice the radius, the radius of the round cake pan is 7/2 = 3.5 inches.

Answer 62

what is the radius and the height

Answer 63

For the round cake pan, the radius is 3.5 inches and the height is 2 inches.

For the rectangular cake pan, the length is 9 inches, the width is 6 inches, and the height is 2 inches.

Answer 64

thanks

Answer 65

You're welcome! Let me know if you have any further questions.

Answer 66

Can Someone do 22 and 23?

Answer 67

Since I don't know which 22 and 23 you're referring to, can you please provide me with more context, such as the subject or the specific problem or test, so I can better assist you?

Answer 68

when baking a cake, you have a choice of the following pans: a round pan that is 2 in deep and has a 7 in diameter. a 6 in *9 in rectangular cake pan that is 2 in deep

Answer 69

Sure, I can assist you with questions 22 and 23 based on that information.

22) Excluding the bottom of the cake, what is the surface area of each cake that will be covered by frosting?

To solve this, we need to calculate the surface area of each cake. To exclude the bottom, we need to calculate the curved surface area of the round pan and the lateral surface area of the rectangular pan.

For the round pan, the curved surface area can be calculated using the formula: A = 2πrh, where r is the radius and h is the height of the cake. Since the bottom of the cake is not included, we use 1 as the height. Thus, we get:

A = 2π(3.5)(1) ≈ 21.98 square inches

For the rectangular pan, we need to calculate the lateral surface area, which is simply the sum of the areas of the four sides:

A = 2lw + 2lh = 2(6)(2) + 2(9)(2) = 36 + 36 = 72 square inches

Thus, the surface area of the round cake that will be covered by frosting is about 21.98 square inches, while the surface area of the rectangular cake is 72 square inches.

23) What is the total surface area of each cake, excluding the bottom?

To calculate the total surface area of each cake, we need to add the surface area of the top and the sides. For the round pan, the top is a circle of radius 3.5 inches, so its area is πr^2 = π(3.5)^2 ≈ 38.48 square inches. The lateral surface area is already calculated in part (22) as about 21.98 square inches. Thus, the total surface area of the round cake, excluding the bottom, is about 60.46 square inches.

For the rectangular pan, we can find the surface area of each of the 6 faces and then add them up. There are two faces that are 6 inches by 2 inches, and two faces that are 9 inches by 2 inches, so their combined area is 2(6)(2) + 2(9)(2) = 36 + 36 = 72 square inches. The other two faces are the top and the bottom, which are both 9 inches by 6 inches, so their combined area is 2(9)(6) = 108 square inches. Thus, the total surface area of the rectangular cake, excluding the bottom, is 72 + 108 = 180 square inches.

I hope this helps!

Answer 70

not readin allat 💀

Answer 71

No problem, let me know if you have any specific question that I can help you with!