Answer:
1.6 × 10^2 teragrams
Step-by-step explanation:
- Density is the ratio of the mass of object to its volume.
Density = Mass ÷ Volume
we are given;
Density of a black hole = 6×10^15 kg/m³
Volume of the black hole = 2.5 in or 6.35 cm in volume
But; 1 g/cm³ = 1000 kg/m³
Therefore; 6×10^15 kg/m³ =6×10^12 g/cm³
We are required to get mass;
Volume = 4/3(πR³)
Assuming the radius is 2.5 inches or 6.35 cm
= 4/3 × 3.14 × 6.35 ³
= 26.585 cm³
But; Mass = Density × volume
= 6×10^12 g/cm³ × 26.585 cm³
= 1.6 × 10^14 g
but; 1 telegram = 1 teragram = 10^12 g
Therefore; 1.6 × 10^14 g ÷10^12 g
= 1.6 × 10^2 teragrams
Therefore, the mass of the black hole is 1.6 × 10^2 teragrams