Question

If the volume of a sphere is 10293.33 cm3, what is the diameter? Use 3.14 to approximate π. Round answers to the nearest hundredth.


Question 18 options:

a)
13.50 cm

b)
27 cm

c)
31.4 cm

d)
13.9 cm

Answer 1

You will need to know the formula for the volume of a sphere.

Answer 2

\[V=\frac{ 4 }{ 3 }\pi r ^{3}\] I'm back early

Answer 3

ok so what is the formula

Answer 4

o I dint see that ok I have the formula what do I do now

Answer 5

How are r and d related?

Answer 6

r=radius and d=diameter

Answer 7

well we're going to reverse it \[10293.33=\frac{ 4 }{ 3 }\left( 3.14 \right)r ^{3}\]

Answer 8

idk how they are related

Answer 9

ok siegel

Answer 10

so first you want to get r alone, so what can you do

Answer 11

10293.33 cm ^3

Answer 12

10293.33 * ^3

Answer 13

well here for now let's just look at (4/3)pi, what can you do

Answer 14

I got 200.96

Answer 15

i did 4*4*4=64*3.14=200.96

Answer 16

ok slow down. first let's divide 10293.33 by 3.14. do you know why?

Answer 17

no

Answer 18

3278.1305732484 was what i got

Answer 19

good
we want to get r alone, so to do this we have to get rid of everything else. first we divide both sides by 3.14 to cancel it out.
now what's the next thing to divide.

Answer 20

3278.1305732484

Answer 21

right so what does the equation look like now that we've canceled 3.14

Answer 22

3278.1305732484 /3.14

Answer 23

well the whole equation so\[3278.1305732484=\frac{ 4 }{ 3 }r^3\]

Answer 24

do you understand how we got there?

Answer 25

no

Answer 26

well we had \[10293.33=\frac{ 4 }{ 3 }(3.14)r^3\]then we divided 3.14 from both sides\[\frac{ 10293.33 }{ 3.14 }=\frac{ \frac{ 4 }{ 3 }(3.14)r^3 }{ 3.14 }\]the 3.14s cancel on the right side and 10293.33 is divided by 3.14 on the right side\[3278.1305732484=\frac{ 4 }{ 3 }r^3\] does that clear it up?

Answer 27

yeah

Answer 28

ok so how do I get the answer

Answer 29

well we have \[3278.1305732484=\frac{ 4 }{ 3 }r^3\]what can you divide next to get r alone

Answer 30

3278.1305732484/3.14

Answer 31

ok I have about 15 minuets left to finisj

Answer 32

we can do this, now the 3.14 is gone, but what about that 4/3, what do you think you do with that?

Answer 33

4/3 divided by 3.14

Answer 34

close you are right about the 4/3 but we want to cancle it from the right side. so what can we do to the left side with the 4/3

Answer 35

* it

Answer 36

8 minutes left

Answer 37

dont worry,
you multiply the reciprocal, do you know what that is?

Answer 38

no

Answer 39

the reciprocal of 4/3 is 3/4, that's how you divide with fractions, you multiply the reciprocal.

Answer 40

I got 5184

Answer 41

4*4*4=64*3*3*3*3=5184

Answer 42

ok I have like 3 minuets to finish this question

Answer 43

there is no 4, ok look multiply 3278.1305732484 by 3/4, then find the third root. you need a good calculator for this. it will look like\[3278.1305732484\times \frac{ 3 }{ 4 }=r^3\]then like this\[2458.59793=r^3\]then\[\sqrt[3]{2458.59793}=\sqrt[3]{r ^{3}}\]and then finally like this\[r=13.49674897\]if you still need help maybe we can talk it through tomorrow.

Answer 44

ok so is a or c the answer

Answer 45

a.
do you understand kind of?

Answer 46

yeah kind of there just 1 last question I don't know the diffre

Answer 47

Kelly likes to play a game with her friends where she stands in one spot with one end of a jump rope in her hand. She then twirls the rope around on the ground in a circle. Her friends jump over the other end of the rope as it comes near them. In this game, does the rope more closely resemble a radius or a diameter of a circle?





radius


diameter

Answer 48

i think it is diameter am i right or wrong

Answer 49

it's radius