Volume of a Sphere Practice

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Question 1
Given a sphere with the radius 7cm. Find the volume of this sphere. Take π as 3.14.

Answer

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A. 1436.03 cm2
B. 1436.03 cm3
C. 87.92 cm2
D. 87.92 cm3
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Step by Step Solution 

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Step 1
The picture below shows the sphere with the radius 7cm.
sphere with the radius 7cm

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Step 2
To calculate the volume, we can use the formula for the volume of a sphere. Note that r is the radius of the sphere.
formula for the volume of a sphere

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Step 3
Since the values for r, and  π are given, we can substitute r with 5 and π with 3.14. After substituting these values, we can calculate V as shown below:
Calculating the volume of a sphere
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Step 4
Now, the calculated number 1436.03 carries no meaning unless we include the unit for it. Since the radius is in cm, the unit for volume will be cm3. Hence:
V = 1436.03 cm3
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Step 5
Clearly, the answer is B.

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