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 2 cm. One tray makes 6 spheres.
What is the total volume of ice the tray can make at one time?
Either enter an exact answer in terms of \piπpi or use 3.143, point, 14 for pi.

Answer 1

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 2 cm. One tray makes 6 spheres.

What is the total volume of ice the tray can make at one time?

(Use π(pi) = 3.14)

Solution:

Radius of ice sphere, r = 2 cm

$Volume \ of \ sphere, V = \frac{4}{3} \pi r^{3} = \frac{4}{3} * 3.14 * 2^{3} = \frac{4}{3} * 3.14 * 8 = \frac{100.48}{3} = 33.49 \ cm^{3}$

There are total 6 equal spheres on the ice tray.

Total volume of ice the tray can make at one time =>

Number of spheres * Volume of sphere

6 * 33.49

200.94 cm³

The total volume of ice the tray can make at one time is 200.94 cm³

Answer 2

Answer:

The volume of ice that the tray can make at one time is 64 \pi64π64, pi cm^3  

3

cubed.

Step-by-step explanation: