the volume of a sphere is 36pi m^3 what is the area?

Answer 1

Do you mean SURFACE AREA? There is no "area" of a 3-dimensional figure.

If you mean SURFACE AREA...

Volume of a sphere is (4/3)(pi)(r^3).

(4/3)(pi)(r^3) = 36pi
pi (r^3) = 27pi
r^3 = 27
r = 3

Surface area of a sphere is (4)(pi)(r^2).

4(pi)(3)^2
= 4(pi)(9)
= 36 pi

Answer 2

I'm assuming 'm' is some unknown variable.

VOLUME = (4/3) x PI x R^3 by definition
so
(4/3) x PI x R^3 = 36 x PI x m^3
from which
R^3 = 27m^3
cube rooting,
R = 3m

Now, by definition,
SURFACE AREA OF SPHERE = 4 x PI x Rsquared
Hence, in this case,

AREA = 4 x PI x (3m)squared

i.e.

AREA = 36 pi m^2

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edit:
On reflection, I suspect the m is for metres - in which case, take Mathematica's answer.

Answer 3

(4/3).π.r³ = 36.π
r³ = 108 / 4 = 27
r = 3 m

Surface area = 4.π.r² = 36π m²
Surface area = 113 m² ( to nearest whole number)

Answer 4

formula of volume is 4/3pi R^3
4/3pi R^3 = 36 pi
R^3 = 27
R = 3
Area = Pi(3)^2
Area = 28.27 m^2