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A hemispherical basin of 150 cm diameter holds water 120 times as much as a cylindrical tube. If the height of the tube is 15 cm, then the diameter of the tube is

A) 27 cm
B) 24 cm
C) 25 cm
D) 26 cm

Correct Answer:



C) 25 cm

Description for Correct answer:
Given, diameter = 150 cm

Therefore, \( \Large r = \frac{150}{2} cm \)

\( \Large \frac{2}{3} \pi \left(\frac{150}{2}\right)^{3} = 120 \pi r^{2} \times 15 \)

=> \( \Large \frac{2}{3} \times \frac{150 \times 150 \times 150}{8} = 120 \times 15 \times r^{2} \)

\( \Large r^{2} = \frac{150 \times 150 \times 150}{12 \times 120 \times 5} \)

\( \Large r^{2} = \frac{625}{4} => r = \sqrt{\frac{625}{4}} = \frac{25}{2} \)

Therefore, Diameter = \( \Large 2r = 2 \times \frac{25}{2} = 25 cm \)

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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