I just need a little help I got this far and got stuck again.
0.10 mm=0.010cm
V= (4/3) (0.010cm) ^3= 1.3333x10^-06
M= (1.3333*10^-06cm^3)*(4.0*10^14g/cm ^3) =
To calculate M, you need to multiply the volume V by the density (4.0 * 10^14 g/cm^3). However, it seems like there is a mistake in the calculation of the volume V. Allow me to correct it for you.
The given value is 0.10 mm, which is equivalent to 0.010 cm.
To calculate the volume V, you correctly used the formula for the volume of a sphere: V = (4/3)πr^3. Since the radius is equal to the diameter, which is 0.010 cm, you can plug in this value to calculate V.
V = (4/3) * π * (0.010 cm)^3
V ≈ (4/3) * 3.14159 * (0.010 cm)^3
V ≈ 0.00418879 * 0.000001 cm^3
V ≈ 4.18879 * 10^-9 cm^3
Now, you can calculate M by multiplying the corrected value of V by the given density (4.0 * 10^14 g/cm^3):
M = (4.18879 * 10^-9 cm^3) * (4.0 * 10^14 g/cm^3)
M ≈ 1.675516 * 10^6 g
Therefore, the value of M is approximately 1.675516 * 10^6 g.