Topics
A copper sphere of diameter 36 cm is drawn into a wire of diameter 4 mm. Find the length of the wire.
|
A) 2000 m |
|
B) 1500 m |
|
C) 1855 m |
|
D) 1944 m |
Correct Answer:
| D) 1944 m |
Description for Correct answer:
Let length of the wire be h.
According to the question,
Volume of sphere = Volume of wire
= \( \Large \Large \left(\frac{4}{3} \pi \times 18 \times 18 \times 18\right) \)
= \( \Large \Large \left( \pi \times \frac{2}{10} \times \frac{2}{10} \times h\right) \)
Therefore, h = \( \Large \Large \left(100 \times 1944\right) cm \) [Because 1 cm = \( \Large \Large 1 \100)m]
= 1944 m
Let length of the wire be h.
According to the question,
Volume of sphere = Volume of wire
= \( \Large \Large \left(\frac{4}{3} \pi \times 18 \times 18 \times 18\right) \)
= \( \Large \Large \left( \pi \times \frac{2}{10} \times \frac{2}{10} \times h\right) \)
Therefore, h = \( \Large \Large \left(100 \times 1944\right) cm \) [Because 1 cm = \( \Large \Large 1 \100)m]
= 1944 m
Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area
Comments
Similar Questions
