# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Mensuration Questions | Question 13

This one is a classic question from Mensuration. As seen in 2IIM's CAT Blueprint, the CAT Exam has been known to roll out at least 1 or 2 questions of this type every year and thus this topics requires your attention and extensive question solving.
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Question 13: A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With π = $$frac{22}{7}$, the volume, in cubic ft, of the remaining part of the cone is:[TITA] ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Mensuration From the diagram, △OAD is similar to △OBC So, $\frac{𝑂𝐵}{𝑂𝐴}$ = $\frac{𝐵𝐶}{𝐴𝐷}$ $\frac{12}{3}$ = $\frac{4}{𝑟}$ r = 1 ft Volume of the remaining part = Volume of OBC – Volume OAD Volume of the remaining part =$$$frac{1}{3}$ × $\frac{22}{7}\\$ × 4 × 4 × 12 ) −$$$frac{1}{3}$ × $\frac{22}{7}$ × 1 × 1 × 3) Volume of the remaining part = $\frac{22}{7}$ ×$ 64 − 1 )
Volume of the remaining part = 198 cubic ft

The question is "A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With π = $$frac{22}{7}\\$, the volume, in cubic ft, of the remaining part of the cone is: [TITA]" ##### Hence, the answer is 198 cubic ft. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91) 99626 48484 / 94459 38484
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