You are using the volume displacement method to measure the volume of a sphere. You have obtained the following:

Initial volume of water - 500 ml
Final volume of water - 835 ml

What is the volume of the sphere in liters? (Use the correct unit abbreviation in your answer)

Calculate the volume of the sphere in milliliters by subtracting the initial volume from the final volume: V s p h ere ​ = 835 m l − 500 m l = 335 m l .
Convert the volume from milliliters to liters using the conversion factor 1 L = 1000 m l : V s p h ere ​ = 1000 335 m l ​ = 0.335 L .
State the final answer with the correct unit abbreviation.
The volume of the sphere is 0.335 L ​ .

Explanation

Problem Analysis We are using the volume displacement method to find the volume of a sphere. The initial volume of water is 500 ml, and the final volume after placing the sphere in the water is 835 ml. We need to find the volume of the sphere in liters.

Calculate the volume in ml First, we calculate the volume of the sphere in milliliters (ml) by subtracting the initial volume of water from the final volume of water: V s p h ere ​ = V f ina l ​ − V ini t ia l ​ V s p h ere ​ = 835 m l − 500 m l V s p h ere ​ = 335 m l

Convert volume to liters Next, we convert the volume from milliliters (ml) to liters (L) using the conversion factor 1 L = 1000 ml: V s p h ere ​ ( L ) = 1000 V s p h ere ​ ( m l ) ​ V s p h ere ​ ( L ) = 1000 335 m l ​ V s p h ere ​ ( L ) = 0.335 L

Final Answer Therefore, the volume of the sphere is 0.335 liters.


Examples
The volume displacement method is commonly used in various real-world applications. For example, in a laboratory, scientists can use this method to accurately determine the volume of irregularly shaped objects, such as small rocks or oddly shaped pieces of metal. Imagine you have a collection of gemstones, and you want to classify them based on their density. By measuring their volume using water displacement and then measuring their mass, you can calculate their density and identify the type of gemstone. This method is also used in industries like manufacturing and engineering to ensure the precision of components and materials.

Answered by GinnyAnswer | 2025-07-05

By subtracting the initial water volume from the final volume, we calculate the sphere's volume to be 335 ml. Converting this to liters gives us a final volume of 0.335 L. Thus, the volume of the sphere is 0.335 L.
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Answered by Anonymous | 2025-07-14