Question 44

A solid metal sphere has radius 14 cm. It is melted to form small cones of radius 1.75 cm and height 3.5 cm. How many small cones will be obtained from the sphere?

Solution

Volume of sphere = $$\frac{4}{3}\pi\ \times r^3=\frac{4}{3}\pi\ \times14^3=\frac{10976}{3}\pi\ \ .$$

Volume of each cone is = $$\frac{1}{3}\pi\times r^2\times h=\frac{1}{3}\pi\times1.75^2\times3.5=\frac{10.71875}{3}\pi\ \ .$$

So, required number = $$\frac{\frac{10976}{3}\pi\ }{\frac{10.71875}{3}\pi\ }=1024\ .$$

C is correct choice.

View More Questions From Geometry

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

maruti sir image

MAT Quant Questions | MAT Quantitative Ability

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

MAT DILR Questions | LRDI Questions For MAT

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

MAT Verbal Ability Questions | VARC Questions For MAT

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