SOLVE THIS PHYSICS QUESTION THE RIGHT ONE WILL BE REWARDED BRAINLIEST
Answers
Density = mass/volume
Calculate the volume first
Volume of cone = 1/3 × πr²h
→ 1/3 × π × 1² × 5
= 5π/3
Density = 10 ÷ 5π/3
→ Density = 6/π ≈ 1.91
Relative error in volume would be = 2× relative error in radius + relative error in height
This is because the error is always added, and the powers (indices) in expression are multiplied with the absolute error
→ Relative error in volume = 0.02/1 + 0.1/5 = 0.02 + 0.02 = 0.04
Relative error in density = relative error in mass + relative error in volume
→ Relative error in density = 0.1/10 + 0.04
→ 0.01 + 0.04 = 0.05
Hence, % error in measurement of density = relative error × 100
→ 0.05 × 100 = 5%
Now, to express it in similar manner of mass, calculate 5% of the obtained density
→ 5 % of 1.91 = 0.0955
Round off to significant figures → 0.096 → 0.10
Hence, density = 1.91 ± 0.1 kg/m³