Question 42

A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both the bowl and the cylinder, the volume of the beverage in the cylindrical vessel is

Solution

Let height of cylindrical vessel = $$h=2$$ cm => Radius of cylinder = $$3$$ cm and radius of hemisphere bowl = $$3$$ cm

=> Volume of hemispherical bowl = $$\frac{2}{3}\pi r^3$$

= $$\frac{2}{3}\pi (3)^3=18\pi$$ $$cm^3$$

Now, volume of cylindrical vessel = $$\pi r^2h$$

= $$\pi \times(3)^2\times2=18\pi$$ $$cm^3$$

$$\because$$ Volume of both are same, thus volume of beverage in cylindrical vessel is $$100\%$$ of hemispherical bowl.

=> Ans - (C)

View More Questions From Quant

Create a FREE account and get:

All Quant Formulas and Shortcuts PDF
100+ previous papers with solutions PDF
Top 5000+ MBA exam Solved Questions for Free

maruti sir image

MAT Quant Questions | MAT Quantitative Ability

MAT Averages, Ratio and Proportion Questions MAT Arithmetic Questions MAT Venn Diagrams Questions MAT Quadratic Equations Questions MAT Time And Work Questions MAT Profit And Loss Questions MAT Geometry Questions MAT Remainders Questions MAT Algebra Questions MAT Averages Questions MAT Time, Speed and Distance Questions MAT Profit and Loss Questions MAT Logarithms, Surds and Indices Questions MAT Inequalities Questions MAT Data Sufficiency Questions MAT Number Series Questions MAT Number Systems Questions MAT Linear Equations Questions MAT Simple Interest Compound Interest Questions MAT Percentages Questions MAT Probability, Combinatorics Questions MAT Progressions and Series Questions MAT Mensuration Questions MAT Coordinate Geometry Questions MAT Functions, Graphs and Statistics Questions MAT Logarithms Questions MAT Time Speed Distance Questions MAT Averages Mixtures Alligations Questions

MAT DILR Questions | LRDI Questions For MAT

MAT Quant Based LR Questions MAT Miscellaneous LR Questions MAT Routes And Networks Questions MAT Data Interpretation Basics Questions MAT Venn Diagrams Questions MAT Puzzles Questions MAT Games and Tournamnents Questions MAT Data change over a period Questions MAT Data Interpretation Questions MAT DI Miscellaneous Questions MAT Coins and Weights Questions MAT Truth Lie Concept Questions MAT Scheduling Questions MAT Charts Questions MAT Table based DI Sets Questions MAT Maxima-Minima Questions MAT Special Charts Questions MAT Quant Based DI Questions MAT 2D & 3D LR Questions MAT DI with connected data sets Questions MAT Selection With Condition Questions MAT Arrangement Questions

MAT Verbal Ability Questions | VARC Questions For MAT

MAT Miscellaneous Questions MAT Critical Reasoning Questions MAT Para Summary Questions MAT Vocabulary Questions MAT Para Jumbles Questions MAT Verbal Ability Questions MAT Grammar and Sentence Correction Questions MAT Odd One Out Questions MAT Reading Comprehension Questions