A spherical object has a radius of 28.9 cm. If the density of the object is 3.52 g/cm^3, what is its mass?

1 Answer
Sep 13, 2017

Answer:

#"Mass" = 355.9# #"kg"#

Explanation:

First, let's find the volume of the spherical object.

The formula for the volume of a sphere is:

#Rightarrow V = frac(4)(3) pi r^(3)#

#Rightarrow V = frac(4)(3) cdot pi cdot 28.9^(3)# #"cm"^(3)#

#Rightarrow V = frac(4 pi)(3) cdot 24,137.6# #"cm"^(3)#

#therefore V = 101,107.2# #"cm"^(3)#

Then, let's find the mass of the spherical object.

The formula for density is:

#Rightarrow "Density" = frac("mass")("volume")#

Let's express it in terms of #"mass"#:

#Rightarrow "Mass" = "density"# #cdot# #"volume"#

#Rightarrow "Mass" = 3.52# #"g/cm"^(3)# #cdot# #101,107.2# #"cm"^(3)#

#Rightarrow "Mass" = 355,897.3# #"g"#

#Rightarrow "Mass" = 355,897.3 times 10^(- 3)# #"kg"#

#therefore "Mass" = 355.9# #"kg"#