Find the weight of the part shown in figure. 

ρ = 10 gm/cm3. (π = 22/7)

Note: All dimensions are in mm.

Concept:

Density:

• The density of a material shows the denseness of that material in a specific given area.
• A material’s density is defined as its mass per unit volume.
• Density is essentially a measurement of how tightly matter is packed together.
• Though the SI unit of density is kg/m³, for convenience we use gm/cm³ for solids, g/ml for liquids, and g/L for gases.

Density = \(\frac{Mass}{Volume}\)

Calculation:

Given:

Total volume (V) = (Volume of cylinder) + (Volume cuboid)

⇒ V = (\(\frac{\pi}{4}\) × 28² × 20) + (50 × 50 × 10)

⇒ V = 12320 + 25000 = 37320 mm³

⇒ V = 37320 × 10^-3 cm³ = 37.32 cm3

∵ Density = \(\frac{Mass}{Volume}\)

⇒ 10 = \(\frac{Mass}{37.32}\)

⇒ Mass = 373.2 grams