Join WhatsApp Icon CAT WhatsApp Group
Question 85

A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is $$9\pi$$ cubic centimeters. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is


Correct Answer: 6

Solution

Share

The volume of a cylinder is $$\pi * r^2 * 3 = 9 \pi$$

r = $$\sqrt{3}$$ cm.

Radius of the ball is 2 cm. Hence, the ball will lie on top of the cylinder.

Lets draw the figure.

Based on the Pythagoras theorem, the other leg will be 1 cm.

Thus, the height will be 3 + 1 + 2 = 6 cm

Was this solution helpful?

Get AI Help

Video Solution

video
View More Questions From Geometry

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 41+ CAT previous year papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Number Series QuestionsCAT Progressions and Series QuestionsCAT Averages QuestionsCAT Linear Equations QuestionsCAT Venn Diagrams Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Charts QuestionsCAT Quant Based DI QuestionsCAT DI with connected data sets QuestionsCAT Scheduling QuestionsCAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles QuestionsCAT Critical Reasoning QuestionsCAT Verbal Ability QuestionsCAT Reading Comprehension QuestionsCAT Grammar and Sentence Correction Questions

Free CAT Quant Questions

CAT GeometryCAT Averages Mixtures AlligationsCAT InequalitiesCAT AveragesCAT Data SufficiencyCAT Profit and LossCAT Number SeriesCAT Probability, CombinatoricsCAT MiscellaneousCAT RemaindersCAT Profit And LossCAT Averages, Ratio and ProportionCAT Progressions and SeriesCAT Logarithms, Surds and IndicesCAT Number SystemsCAT MensurationCAT Simple Interest Compound InterestCAT Functions, Graphs and StatisticsCAT AlgebraCAT Linear EquationsCAT Time Speed DistanceCAT Venn DiagramsCAT Quadratic EquationsCAT Coordinate GeometryCAT LogarithmsCAT ArithmeticCAT Time And WorkCAT PercentagesCAT Time, Speed and Distance

Related Formulas With Tests

Solids - Volume

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI