Find the surface area of a sphere whose volume is 4/3pi cubic meters?

Question

Find the surface area of a sphere whose volume is 4/3pi cubic meters?

Answer 1

Hi,

The formula for the volume of a sphere is V = 4/3πr³. If a sphere's volume is 4/3π. then:

4/3π = 4/3πr³

1 = r³

1 = r

The radius of the sphere is 1 meter.

The formula for a sphere's surface area is A = 4πr², so with a radius of 1, the surface area is 4π square meters. <==ANSWER

A = 4πr²

A = 4π(1)²

A = 4π

I hope that helps!! :-)

Answer 2

4pi(r^3)/3 = 4pi/3 so r = 1 and S = 4pi(1)^2 = 4pi.

BTW, print (4pi)/3 now on and not 4/3pi.

4/3pi is confusing for 4/(3pi)

Answer 3

If volume=(4/3)*pi m^3 ?

or 4/(3*pi) m^3 ?

if (4/3)*pi

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

=

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

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area=(3/r)*(4/3)*pi

= 4*pi/r m^2

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but if volume=4/(3*pi):

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

=

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

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area=(3/r)*(4/(3*pi)

= 4/(pi*r) m^2

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