# What is the volume of a spherical tank with its diameter equal to the side of a square with an area of 16 square meter.

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by Edgielyn

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by Edgielyn

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and the diameter of the sphere is equal to the side of the square

whose area is 16

area of square is s^2

so that 16=s^2

s=4

diameter is equal to radius x 2

so that 4=rx2 divide both side by 2

so that the r is 2 then go for the area of sphere

4 pie r^24 x 3.1416 x 2x2

is 50.27

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Area of square = s²

A = s²

where s is the length of the side of the square

16 = s²

s = √16

s = 4

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Since it is stated that the diameter of the sphere is just equal to the length of the side of the square then, s=d; diameter of the sphere is 4 meters.

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Volume of a sphere:

V = 4/3πr³

where r is the radius of the sphere

radius is half of the length of the diameter. Then if the diameter is 4m then the radius must be 2m.

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V = 4/3 π r³

V = 4/3 π (2)³

V = 32/3 π m³

or in decimal