For these last two problems use measures: r sphere= 2.64 cm, mass 6.60g r cylind

Question

For these last two problems use measures: r sphere= 2.64 cm, mass 6.60g r cylinder= 26.5 mm, m= 27.35 g

6. Determine and record the radius (r) of one of the spheres and the uncertainty in the radius, r. Write this measurement as follows: r = measurement ± uncertainty units (example: r = 2.152 ± 0.002 cm).

7. Calculate the volume of the sphere and the uncertainty in the volume given the following equations: Vsphere = 4r3/3 and V = 3Vr/r. Write this calculated value as was done for the radius. 8. Determine and record the mass (m) of the sphere and the uncertainty in the mass, m. Write this measurement as was done for the radius and volume. 9. Repeat steps 6-8 for a cylinder

Explanation / Answer

given

rs = 2.64 cm

m = 6.6 g

rc = 26.5 mm

mc = 27.35g

6. taking one sphere and measuring its diameter using verneir callipers and then dividing by 2 to find radius

rs = 2.63 +- 0.05 cm

7. volume of sphere = V

V = 4*pi*r^3/3

dV/V = 3dr/r

V = 4*pi*(2.63)^3/3 = 76.20015 cm^3

dV/V = 4*0.05/2.63

dV = 5.79468859 cm^3

hence

V = 76.20015 +- 5.794688 cm^3

8. fromn the measurememtns

m = 6.6 +- 0.1g

9. for cylinder we will also need lenght of the cylinder

and

V = pi*r^2*h

dV = V(2dr/r + dh/h)

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