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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
4.22 Word Problems on Sphere - III

Example:
From a cube of side 7 cm., a largest possible sphere is made. What is its volume?
Solution:
The diameter of the largest possible sphere = Side of the cube = 7 cm.
Therefore, radius of sphere = d/2 = 7/2 = 3.5 cm.
Therefore, Volume of the sphere = 4/3 * pi * r3
= 4/3 * 22/7 * 3.5 * 3.5 * 3.5
= 179.67 cu. cm.
Directions: Solve the following problems. Also write at least 5 examples of your own.
Q 1: From a cube of side 8.4 cm., a largest possible sphere is made. What is its volume?
73.92 cu. cm.
73.96 cu. cm.
73.98 cu. cm.
73.94 cu. cm.

Q 2: From a cube of side 9.8 cm., a largest possible sphere is made. What is its volume?
493.055 cu. cm.
493.505 cu. cm.
493.005 cu. cm.
493.550 cu. cm.

Q 3: From a cube of side 10.5 cm., a largest possible sphere is made. What is its volume?
606.735 cu. cm.
606.375 cu. cm.
606.537 cu. cm.
606.357 cu. cm.

Q 4: From a cube of side 21 cm., a largest possible sphere is made. What is its volume?
4859 cu. cm.
4851 cu. cm.
4853 cu. cm.
4857 cu. cm.

Q 5: From a cube of side 12.6 cm., a largest possible sphere is made. What is its volume?
1047.816 cu. cm.
1047.168 cu. cm.
1047.681 cu. cm.
1047.861 cu. cm.

Q 6: From a cube of side 3.5 cm., a largest possible sphere is made. What is its volume?
22.584 cu. cm.
22.548 cu. cm.
22.458 cu. cm.
22.854 cu. cm.

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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