One cubic meter (1.0m^3) of aluminum has a mass of 2700kg, and 1m^3 iron has a mass of 7860kg. What would the radius of a solid aluminum sphere be if it has the same mass as a solid iron sphere with a radius of 2.4 cm. Answer in cm.
Please tell me whats the answer and how u got it.!!!
thanks in advance
2007-08-30 11:37:17 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
-First, find the volume of the iron sphere (V=4/3piR^3)
-Then find the mass of the iron sphere
- Since the masses of two sphere are equal, that's also the mass of the aluminum sphere
- Use the aluminum mass to find the volume of the aluminum sphere
- Finally, calculate the radius of the aluminum sphere by using V=4/3piR^3
- Be careful with the units. My answer is 3.43 cm
2007-08-30 12:03:26 · answer #1 · answered by misa_dep_trai 2 · 0⤊ 0⤋
Find density of iron: Rho (iron)= 7860kg/1m^3 = 2700 kg/m^3
Same way for Rho (alum) = 2700 kg/m^3
V(sphere) = 4/3 pi R^3 = mass/Rho.
Express R from here.
2007-08-30 18:51:02 · answer #2 · answered by Snowflake 7 · 0⤊ 0⤋