Question

I am still not understanding this...

SS below

Answer 1

what grade are you in?

Answer 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @DumbFounded
what grade are you in?
\(\color{#0cbb34}{\text{End of Quote}}\)
8th

Answer 3

damn i dont want to learn about that stuff it seems hard

Answer 4

@jhonyy9 Can you help? It's the same as last time, I am not understanding it at all.

Answer 5

this was solved past 2-3 days ago

Answer 6

Ik, I am not understanding it tho.

Answer 7

The formula for switching between diameter and radius is:
\(Diameter = 2\times radius\)

This is why the first column first box will have 6 as it's answer
because 2x3=6

Answer 8

That means that in the second row, second box if we start with a Diameter of 12, then the radius will be half of that

Answer 9

So it would be 66 for the second row?

Answer 10

I'll assume that's a typo.
you mean 6?

Answer 11

Yeah I mean 6.

Answer 12

then yes :)

Answer 13

Okay..

Answer 14

how about fourth row? converting from diameter of 8
what would be the radius?

Answer 15

4?

Answer 16

perfect!

Answer 17

Okay, Thanks!

Answer 18

how about sixth row?
starting with radius of 10
what is the diameter?

Answer 19

20?

Answer 20

awesome!

and seventh row: starting with diameter of 20, what is the radius?

Answer 21

10?

Answer 22

fantastic

ok, so I think you are good at switching between the diameter and radius columns

let's take a look at another column...

Answer 23

Okay..

Answer 24

The area of the base of this shape = \(\large \pi (radius)^2\)

Answer 25

So in the first row, third box,

if the radius is 3
then \(\pi\times(3)\times (3)=?\)

Answer 26

you can keep pi in your answer

Answer 27

Okay...

Answer 28

Answer would be: 28.2743338823?

Answer 29

what I meant when I said to keep pi in your answer is
\(\pi\times3\times3=9\pi\)

Answer 30

Oh, Okay. I used a calculator ngl.

Answer 31

ok let's try the next row for the same idea

we said that the radius would be 6
area of base = \((radius)\times(radius)\times\pi\)

what is 6 x 6 = ?

Answer 32

=36π

Answer 33

you got it!

Answer 34

Yay, Okay what's next?

Answer 35

how about the fourth row?
radius = 4

area of base = \((radius)\times(radius)\times\pi\)

what is 4 x 4 = ?

Answer 36

16π?

Answer 37

amazing!

you can use the same ideas to fill the third box in the sixth and seventh rows too

Answer 38

Okay, Thanks so much!

Answer 39

wait... we're not really done yet...

Answer 40

but ok I guess

Answer 41

Yah, I still need help on the 5th one down.

Answer 42

The Diameter and radius are empty, And I don't know how to solve for those.

Answer 43

the hardest part in this problem is switching between the volume and other information

the volume = (area of the base) x (height)
or
height = (volume) \(\div\) (area of the base)
or
area of the base = (volume) \(\div\) (height)

^ those three things I just wrote are the SAME formula - just in a different order so that you can pick which one you want to use depending on what information you are solving for.


for example
second row: we know the (area of the base) = 36 pi
we also know that (volume) = 108 pi

this means we use the second formula I wrote above because we are looking for the (height)

height = (volume) \(\div\) (area of the base) = \((108\pi)\div(36\pi)=~?\)

Answer 44

While solving for the height in the second row I got 30.84472787, Would I have to round it? If so, What would I round it to?

Answer 45

whoa there
what is 108 \(\div\) 36 = ?

Answer 46

I used pie in my division, Which may have turned my answer around.

Answer 47

So it would be 3

Answer 48

correct

Answer 49

let's look at the third row next
area of the base = (volume) ÷ (height)

we know that (volume) = 99pi and heigh = 11

what is 99 \(\div\) 11=?

Answer 50

9?

Answer 51

yup so the area of the base for the third row is 9 pi

Answer 52

then if you have (area of the base) = 9 pi

what number times itself = 9?
(that would be your radius)

Answer 53

3