Answer:
James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 2 cm. One tray makes 6 spheres.What is the total volume of ice the tray can make at one time?
Total volume of the tray James have = 201.06 cm^3
Step-by-step explanation:
Given:
Radius of the spherical ice cube = 2 cm
No. of spheres in the ice cube = 6
We have to find the total volume of the ice tray that can make at one time.
Let the total volume be "V".
Formula to be used:
Volume of sphere = [tex]\frac{4\pi r^3 }{3}[/tex] cubic unit.
Total volume = [tex]n\times \frac{4\pi r^3 }{3}[/tex] cubic unit.
So,
Total volume of the ice tray (V) :
⇒ [tex]V=n\times \frac{4\pi r^3 }{3}[/tex]
⇒ Plugging n = 6 and r = 2
⇒ [tex]V=6\times \frac{4\pi (2)^3 }{3}[/tex]
⇒ [tex]V=6\times \frac{4\pi (8) }{3}[/tex]
⇒ [tex]V=6\times \frac{32\pi }{3}[/tex]
⇒ [tex]V=\frac{32\times 6\pi }{3}[/tex]
⇒ [tex]V=32\times 2\pi[/tex]
⇒ [tex]V=201.06\ cm^3[/tex]
So,
The total volume of ice the tray can make at one time = 201.06 cm^3
