Question

Check my answer, please?: Find the volume of a sphere with surface area equal to 100π ft2.

Answer 1

A=π⅓(6V)⅔=π⅓·(6·36)⅔≈52.72531

Answer 2

@amistre64

Answer 3

\[V=4\pi r^3\]
\[S_a=\frac43\pi~r^2\]
these seem familiar

Answer 4

find r from Sa to determine V

Answer 5

sqrt(S*3/(4pi)) = r

V = 4pi * S*3/(4pi) * sqrt(S*3/(4pi))

V = S*3* sqrt(S*3/(4pi))

V = 300pi* sqrt(100*3/4)

V = 300pi* 10/2 * sqrt(3)

V = 1500pi sqrt(3)

maybe?

Answer 6

i got those backwards :/

Answer 7

Oh okay. From the top! c:

Answer 8

S = 4pi r^2 ... V = 4pi r^2/3

Answer 9

** r^3/3

Answer 10

so, it looks like V = S * r/3

Answer 11

r = sqrt(S/4pi) = 5 in this case?

Answer 12

So √(100/4π)?

Answer 13

S = 100 pi

sqrt(100pi/4pi) = sqrt(100/4) = 10/2 = 5 = r

Answer 14

V = S*r/3 = 500pi/3 seems about more righter lol

Answer 15

Okay so given the radius now, we would do 4/3π(5)^2 ?

Answer 16

5^3 but yes

Answer 17

or the simplifed S*r/3

Answer 18

100π*5/3?

Answer 19

@ParthKohli

Answer 20

@mathstudent55

Answer 21

using the above formulas i get
r = sqrt(75) ft
V =2598pi
is that what you get?