# 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.

2
by Edgielyn

## Answers

2014-12-27T12:04:44+08:00
the formula for the area of the sphere is 4pie radius ^2
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
2014-12-28T14:13:31+08:00
To find the diameter of the sphere, we need to find first the length of the side of the square with the area of 16m².
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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
V = 33.51m³