Question

The volume of a sphere is 3,000 m.3. What is the surface area of the sphere to the nearest square meter?
Select one:
a. 2,158 m2
b. 37,699 m2
c. 165 m2
d. 1,018 m2

Answer 1

@haleyelizabeth2017 ; i thought this was A, bit it wasnt...

Answer 2

volume = \[\frac{ 4 }{ 3 }\pi*r^3\]

Answer 3

find r from here

Answer 4

what is the sa formula again?

Answer 5

\[3000=\frac{ 4 }{ 3}*\pi*r^3\]

Answer 6

divide both side by \[\frac{ 4 }{ 3 }*\pi\]

Answer 7

answer is 2158

how to do it below

formula is V=4/3*(pi*R^3)
so if v=3000 pi then
the Pi on both sides cancels out
so then
3000=4/3*r^3
multiply by reciprocal of 4/3 and get
2250=r^3
solve for radius (r)
13.103707=r
now plug it in to the surface area formula which is
sa=4*pi*r^2

sa=4*pi*171.707137
sa=pi*686.828548
sa= 2157.73552

round that up to 2158 for your answer of 2158 m^2

Answer 8

this is what i got correct for this question

Answer 9

i took this

Answer 10

\[4 \div 3\times \pi \times r \]

Answer 11

this is geometry correct?

Answer 12

*r^3

Answer 13

thats volume...not sa....:/

Answer 14

isn't it like \(4\pi r^2\)?

Answer 15

huh?

Answer 16

\[\frac{ 3000 }{ \frac{ 4 \pi}{ 3 } }=\frac{ (4/3)\pi*r^3 }{ (4/3)\pi }\]

Answer 17

first we need r value

Answer 18

_-_

Answer 19

\(SA=4\pi r^2\) right??? I took geo last year so I need to refresh my memoery of the formulas.....

Answer 20

yeah ...so what will be its value ??

Answer 21

im confused to be honest...

Answer 22

do u have radius ??

Answer 23

no i dont...

Answer 24

first u need radius to find surface area

Answer 25

we have volume so we will calculate it from volume

Answer 26

how would i find the radius?

Answer 27

volume = (4/3)pi*r^3

Answer 28

3000=(4/3)*pi*r^3

Answer 29

right ??

Answer 30

yes.

Answer 31

divide both side by (4/3)pi

Answer 32

so would it be 3000/ 4.18?...

Answer 33

3000/4/3=3000*3/4 so try it that way....dividing a fraction is like multiplying the reciprocal

Answer 34

did i even help at all :/?

Answer 35

one second....would you like me to show you that step?

Answer 36

2250

Answer 37

Can you double-check the first line in the question?
The volume of a sphere is 3,000 or 3000\(\pi\) ?
Because with 3000, none of the answer choices match.

Answer 38

volume of a sphere is 3,000 m.3

Answer 39

because we need to solve for sa....

Answer 40

oh okay then ;/

Answer 41

so it will be \(716.20=r^3\) so we need to cube root......

Answer 42

yeah we need to cube root to find r

Answer 43

im getting 785

Answer 44

can you find that @boricua5? It is close to 9, but not quite....for r

Answer 45

im SO confused!...

Answer 46

the answer for the sa isn't a choice...it's close. r=8.95 about

Answer 47

If you round off 'r' to zero decimal places then you will get one of the answer choices. But if you don't round off the answer is off by about 12.

Answer 48

thats what happened to mine :( its 12 about more than one of the choices

Answer 49

is it D?

Answer 50

yup!