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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 222 cm. One tray makes 666 spheres. What is the total volume of ice the tray can make at one time?

Respuesta :

To find the volume of all 6 ice cubes, you will find the volume of one ice cube by using the formula for the volume of a sphere.

V = 4/3 x pi x r^3
      4/3 x 3.14 x 2^3
V = 33.49 cubic cm

33.49 cm^3 x 6 = 200.94 cubic cm

The volume of all 6 ice cubes is approximately 200.96 cubic centimeters.


facundo3141592

Answer: The total volume is 200.94 cm^3

Step-by-step explanation:

Each number seems to be tripled, so we have that:

The radius of each sphere is 2 cm

One tray can make a total of 6 spheres.

So here we need to calculate the volume of each sphere, and multiply it by 6.

The volume of a sphere is equal to:

v = (4/3)*pi*r^3

where r = 2cm and pi = 3.14

v = (4/3)*3.14*(2cm)^3 = (4/3)*3.14*8cm^3 = 33.49 cm^3

now, we have 6 spheres, so we have six times that volume, the total volume is:

V = 6*33.49 cm^3 = 200.94 cm^3

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