SATHEE: Quantitative Aptitude Ques 93

Quantitative Aptitude Ques 93

Question: Assume that a drop of water is spherical and its diameter is one-tenth of 1 cm. A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm) is

Options:

A) 1

B) 8

C) 3

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

Let the radius of rim of the glass be r, Height of glass = 2r According to the question, $ 32000\times \frac{4}{3}\pi \times \frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}=\frac{1}{3}\pi \times r^{2}\times 2r $

$ \Rightarrow $ $ \frac{32000\times 4}{1000}=2r^{3} $

$ \Rightarrow $ $ r^{3}=64 $
$ \Rightarrow $ $ r=4 $

$ \therefore $ Height of glass = 2r = 8 cm

BETA

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.

Quantitative Aptitude Ques 93

Question: Assume that a drop of water is spherical and its diameter is one-tenth of 1 cm. A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm) is

Options:

Answer:

Solution:

Bank Preparation

Bank Courses

NCERT Books

Important Resources

Forum