Question

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 22 2 2 cm. One tray makes 66 6 6 spheres.

Answer 1

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 =  $\frac{4\pi r^3 }{3}$  cubic unit.

Total volume = $n\times \frac{4\pi r^3 }{3}$ cubic unit.

So,

Total volume of the ice tray (V) :

⇒ $V=n\times \frac{4\pi r^3 }{3}$

⇒ Plugging n = 6 and r = 2

⇒ $V=6\times \frac{4\pi (2)^3 }{3}$

⇒ $V=6\times \frac{4\pi (8) }{3}$

⇒ $V=6\times \frac{32\pi }{3}$

⇒ $V=\frac{32\times 6\pi }{3}$

⇒ $V=32\times 2\pi$

⇒ $V=201.06\ cm^3$

So,

The total volume of ice the tray can make at one time = 201.06 cm^3