Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where "r" is the radius.
Volume of the grapefruit
You know that its diameter is 16 centimeters.
Since the radius is half the diameter, you get that its volume is:
[tex]V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3[/tex]
Volume of the lime
According to the information given in the exercise, the diameter of the lime is 8 centimeters.
As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:
[tex]V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3[/tex]
In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:
[tex]\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times[/tex]
