Find the nearest approximate weight of the part shown in the figure. ρ = 10 gm/cm3 (π = 22/7)

Note: All dimensions are in mm

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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 cuboid) - (Volume of cylinder)

⇒ V = (100 × 50 × 30) - (\(\frac{\pi}{4}\) × 282 × 10) 

⇒ V = 150000 - 6157.52 = 143842.47 mm3

⇒ V = 143842.47 × 10-3 cm3 = 143.84 cm3

∵ Density = \(\frac{Mass}{Volume}\)

⇒ \(10=\frac{Mass}{143.84}\)

⇒ Mass = 1438.4 grams