SATHEE: Quantitative Aptitude Ques 1929

Quantitative Aptitude Ques 1929

Question: The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by

Options:

A) 30%

B) 31%

C) 32.25%

D) 34.75%

Show Answer

Answer:

Correct Answer: C

Solution:

Let the fixed height of a right circular cone be h and initial radius be r. Then, initial volume of cone, $ V _1=\frac{1}{3}\pi r^{2}h $ After increasing 15% radius of a cone $ =( r+\frac{3r}{20} )=\frac{23}{20}r $ New volume becomes, $ V _2=\frac{1}{3}\pi {{( \frac{23}{20} )}^{2}}r^{2}h $

$ \therefore $ Increasing percentage $ =( \frac{V _2-V _1}{V _1} )\times 100 $ $ =\frac{\frac{1}{3}\pi r^{2}h}{\frac{1}{3}\pi r^{2}h}{ {{( \frac{23}{20} )}^{2}}-1 }\times 100 $ $ =( \frac{23}{20}+1 )( \frac{23}{20}-1 )\times 100 $ $ =\frac{43}{20}\times \frac{3}{20}\times 100=32.25 $ %

Quantitative Aptitude Ques 1928

Quantitative Aptitude Ques 1930

Quantitative Aptitude Ques 1929

Question: The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by

Options:

Answer:

Solution:

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