A container is in the shape of a hemisphere. The radius of the container is 12 centimeters. How many liters of liquid can the container hold?

Question

1,000 cm ³ =1 liter

 

Answer 1

V = 1/2 (4/3 ∏ r³)

V = 2/3 ∏ 12³

V = 2/3 ∏ 1728

V = 1152 ∏ cm³  ≈ 3619.11 cm³

 1 liter       =     x       

1000 cm³     3619.11

1000 x = 3619.11

x = 3.619 liters

Answer 2

Hi Kristin, the volume of a sphere is given by: 4/3 * π *  r³. The hemisphere is 1/2 of a sphere.

 

The equation for the volume of a hemisphere with a radius of 12 centimeters:

 

V_h = (4/3 * π * 12³) / (1/2)

 

V_h = 3619.1 cubic centimeters, rounded.

 

Converting to liters gives: 3619.1 / 1000 = 3.619 liters, rounded.

 

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