GATE CE 2017 Set 1 — Question 59
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyMensuration & GeometryQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Mensuration & Geometry
Last updated
Question
If the radius of a right circular cone is increased by , its volume increases by
Correct answer
(C) 125\%
Solution
The volume of a right circular cone is given by the formula:Let the initial radius be and the initial height be . The initial volume is .If the radius is increased by , the new radius becomes:Assuming the height remains constant, the new volume is:The increase in volume is:The percentage increase in volume is:Thus, the correct option is (C).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Quantitative Aptitude
2026 Set 2 Q1'The team ____ more than 300 runs in 20 overs ____ rains. However, some players needed to…2026 Set 1 Q1‘The shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the ________.2026 Set 2 Q2If a positive real satisfies the following equation then…2026 Set 1 Q2The figure below is supposed to show three non-overlapping shapes – one oval and two triangles.…2026 Set 2 Q3The next figure (indicated by ‘?’) in the sequence is