Answer:
1685997.4 mm³ or 1685.9974 cm³
Explanation:
The most common unit that is used to measure length in the metric system is millimeter (mm).
The volume of a cylinder = Area of the circular base×height.
V = πr²h.................................. Equation 1
Where V = volume of the nuclear waste material, r = radius of the cylinder, h = height of the cylinder.
But circumference of a circle,
P = 2πr
r = P/2π
Where p = circumference of the circle = 8.18 in and π = 3.14.
r = 8.18/(2×3.14)
r = 1.3 in
Given: h = 4.81 inch, r = 1.3 inch.
Conversion: From Inch to mm
(i)if, 1 inch = 25.4 mm,
Then 4.81 inch = 25.4(4.81) = 122.174 mm
(ii) if, 1 inch = 25.4 mm,
Then, 1.3 inch = 25.4(1.3) = 33.02 mm.
Therefore, h = 122.174, r =33.02 mm
Substituting these values into equation Equation
V = 3.14(33.02)²122.174
v = 384039.59 mm³ or 384.0395 cm³
Thus the volume of the cylinder = 384039.59 mm³ or 384.0395 cm³
