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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
4.49 Word Problems on Sphere - I

Example:
The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of a diameter 0.4 cm. Find the length of the wire.
Solution:
Diameter of the sphere = 6 cm.
Therefore the radius of the sphere = 6/2 = 3 cm.
Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm.
The sphere is beaten and drawn into a wire, the wire is a cylinder of diameter 0.4.
Length 'l' is to be calculated,
Area of the base of the cylinder = pi * r2 = 22/7 * 0.2 * 0.2 Sq. cm.
Volume of the wire = pi * r2 * l = 22/7 * 0.2 * 0.2 * l
Therefore, 22/7 * 0.2 * 0.2 * l = 4/3 * 22/7 * 3 * 3 * 3
Therefore, l = 4/3 * 22/7 * 3 * 3 * 3 * 7/22 * 1/0.04
l = 36 * 1/0.04
l = 900 cm.
Directions: Solve the following problems. Also write at least 5 examples of your own.
Q 1: The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of a diameter 0.6 cm. Find the length of the wire.
460 cm.
430 cm.
420 cm.
400 cm.

Q 2: The diameter of a copper sphere is 4 cm. It is beaten and drawn into a wire of a diameter 0.2 cm. Find the length of the wire.
1056.67 cm.
1066.67 cm.
1076.67 cm.
1046.67 cm.

Q 3: The diameter of a copper sphere is 8 cm. It is beaten and drawn into a wire of a diameter 0.2 cm. Find the length of the wire.
8533.33 cm.
8523.33 cm.
8513.33 cm.
8543.33 cm.

Q 4: The diameter of a copper sphere is 9 cm. It is beaten and drawn into a wire of a diameter 0.6 cm. Find the length of the wire.
1350 cm.
1360 cm.
1340 cm.
1340 cm.

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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