Surface area o fthe ball = 4 * 3.14 * radius^2
if diameter = 1.680 then radius = 1/2 * 1.680 = 0.84
so surface area = 4 * 3.14 * 0.84^2 = 8.862
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
Exact form: 3336711069/389
Decimal form: 8577663.42 (rounded)
Mixed number form: 8577663 & 162/389
Sometimes there is no apparent way to factor it by hand /(the factors are decimals or imaginary). To try and factor these problems is nearly impossible in your head.
