A spherical conductor has a radius of 4mm. What is the volume of this conductor in liter? Note: v= 4/3Πr3 where r = radius
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To find the volume of the sphere, we can use the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere.
Given that the radius, r, is 4mm, we can substitute this value into the formula and calculate the volume.
V = (4/3)π(4mm)³
V = (4/3)(3.1415)(4mm)³
V = (4/3)(3.1415)(64mm³)
V ≈ 268.082735mm³
However, we need to convert this volume from cubic millimeters (mm³) to liters (L). To do this, we need to know the conversion factor:
1 liter (L) = 1000 cubic centimeters (cm³)
Since 1 millimeter (mm) = 0.1 centimeters (cm), we can use the conversion factor to convert cubic millimeters to cubic centimeters:
1 mm³ = (0.1 cm)³ = 0.001 cm³
Therefore, to convert mm³ to liters, we need to divide by 1000:
V_L = V / 1000
V_L ≈ 268.082735mm³ / 1000
V_L ≈ 0.268082735 cm³
Hence, the volume of the spherical conductor is approximately 0.268082735 liters.