The ball of a float value is a sphere 200mm in diameter. Calculate the volume and surface area of the ball
A=4πr^2=4·π·100^2≈1.25664×10^5
V=4/3π r ^3=4/3·π·100^3≈4.18879×10^6
I would be inclined to do it in meters though
r = 0.1 meter
To calculate the volume and surface area of a ball, we will need to use the formulas specific to spheres.
1. Volume of a sphere (V):
The formula to calculate the volume of a sphere is V = (4/3) * π * r³, where r is the radius of the sphere.
In this case, the diameter of the ball is given as 200mm. Therefore, the radius (r) can be calculated by dividing the diameter by 2:
r = 200mm / 2 = 100mm
Now we can substitute the value of r into the volume formula:
V = (4/3) * π * 100mm * 100mm * 100mm
V ≈ 4.18 * 10^6 mm³ (cubic millimeters)
So, the volume of the ball is approximately 4.18 * 10^6 cubic millimeters.
2. Surface area of a sphere (A):
The formula to calculate the surface area of a sphere is A = 4 * π * r².
Using the same radius (r) as before:
A = 4 * π * 100mm * 100mm
A ≈ 1.26 * 10^5 mm² (square millimeters)
Therefore, the surface area of the ball is approximately 1.26 * 10^5 square millimeters.