Question

Help Needed!

Answer 1

The volume of a sphere is 4000 π m^3. What is the surface area of the sphere to the nearest square meter?

Answer 2

@Hero @amistre64

Answer 3

okay so after a few minutes of research on the inter net, i finally got it...
so since you know the volume which is 4000π, you have to divide that by 4π

Answer 4

hello?

Answer 5

volume = 4/3 pi r^3

surface area = 4 pi r^2

Answer 6

@amistre64 isn't it
v/4π then multiply that by 3 and find the cube root of the final answer?

Answer 7

So it would be 3,836 m^2?

Answer 8

thats just r i beleive

Answer 9

nope...lemme break it up this way
\[4000/4π\] which equal 1000
then multiply that by 3 which would be 3000
then find the cube root of 3000

Answer 10

volume = 4/3 pi r^3

3 volume = 4 pi r^3

3 volume/(4pi) = r^3

(3 volume/(4pi))^(2/3) = r^2

sooo

4pi (3 volume/(4pi))^(2/3)

Answer 11

1 - 2/3 = 1/3 soo

3 volume cbrt(4pi) = sa

Answer 12

dropped an exponent

Answer 13

cbrt[(3 volume)^2] cbrt(4pi) = sa

cbrt[4pi (3 volume)^2] = sa

Answer 14

personally id step it out

4000 pi = 4/3 pi r^3

12000 pi = 4 pi r^3

12000 = 4 r^3

3000 = r^3

cbrt(3000) = r
...................................

sa = 4pi [cbrt(3000)]^2

Answer 15

both ways gets me the same result ... i just feel more comfortable working it steped

Answer 16

So the answer is 3,836.....

Answer 17

not from my calculations

Answer 18

Then 2,614 m^2

Answer 19

thats more closer to what ive got yes

Answer 20

Okay, thank you! :)