Question

There are five ice cubes, each with edges 3.5cm long, are left to melt in a cylindrical glass with a diameter of 5cm and a height of 10cm. Will the water from the melted ice cubes fit in the glass?

Please provide an answer and explanation

Answer 1

Hence, The Volume of the Five Ice Cubes is 214.375 cm^3, and the Volume of the Cylindrical Glass is approximately 196.35 cm^3.

Since the volume of the Ice Cubes is GREATER than the Volume of the GLASS, The WATER from the MELTED ICE CUBES WILL NOT fit in the glass.

Explanation:

• Make a plan:

Calculate the volume of the Five Ice Cubes and the Volume of the Cylindrical Glass, Then Compare the two volumes to determine if the water from the melted ice cubes will fit in the glass.

• Solve the problem:

• 1) - Calculate the Volume of a Single Ice Cube

V cube = a^3 = (3.5)^3 = 42.875 cm^3

• 2) - Calculate the Volume of Five Ice Cubes

V total_cubes = 5 * V cube = 5 * 42.875 = 214.375 cm^3

• 3) - Calculate the Volume of the Cylindrical Glass

V cylinder = π * r^2 * h = π * (2.5)^2 * 10 = 62.5π = 196

• Draw the conclusion:

Hence, The Volume of the Five Ice Cubes is 214.375 cm^3, and the Volume of the Cylindrical Glass is approximately 196.35 cm^3. Since the volume of the Ice Cubes is GREATER than the Volume of the GLASS, The WATER from the MELTED ICE CUBES WILL NOT fit in the glass.

I hope this helps!