Find the amount of insulation required in square m to completely cover a chlorine storage sphere having a diameter of 8 m.

To determine the amount of insulation needed to cover a chlorine storage sphere, we first need to calculate the surface area of the sphere. The formula for the surface area of a sphere is given by:

[ \text{Surface Area} = 4 \pi r^2 ]

where ( r ) is the radius of the sphere. Given that the diameter of the sphere is 8 meters, the radius can be calculated as:

[ r = \frac{\text{diameter}}{2} = \frac{8 , m}{2} = 4 , m ]

Now, we can substitute the radius into the surface area formula:

[ \text{Surface Area} = 4 \pi (4 , m)^2 ]

[ = 4 \pi (16 , m^2) ]

[ = 64 \pi , m^2 ]

Next, we calculate ( 64 \pi ):

[ 64 \pi \approx 64 \times 3.14159 \approx 201.06176 , m^2 ]

Rounding this to three decimal places gives us approximately 201.062 square meters.

Therefore, the correct amount of insulation required to