Class 10 | MATHS |

Chapter | VARIATION |

CALCUTTA BOOK HOUSE MATHS (BENGALI ENGLISH) | EXAMPLES |

Medium | English |

Academic Year | 2023-2024 |

Question 28

Volume of a sphere varies directly with the cube of its radius. Three solid spheres having length of 112,2and212 metres diameter are melted and a new sphere is formed . Find the length of diameter of the new sphere. [Consider that the volume of sphere remains same before and after melting ]View SolutionQuestion 31

To dig a well of x dcm deep , one part of the total expenses varies directly with x and other part varies directly with x2. If the expenses of digging wells of 100 dcm and 200 dcm depths are rs5000 and rs12000 respectively , calculate the expenses of digging a well of 250 dcm depth. View SolutionQuestion 33

An agricultural co- operative society of village Naraynpur has purchased a tractor . Previously 2400 bighas of land were cultivated by 25 ploughs in 36 days . Now half of the land can be cultivated only by that tractor in 30 days . Calculate by using the theory of variation , the number of ploughs work equaly with one tractor . View SolutionQuestion 36

A heavy particle while falling freely from rest under gravitational altraction , the distance through which it falls varies directly as the square of the time taken to fall up to the distance . The particle falls through 125 metres in 5 seconds . Through what distance will it fall in 10 seconds ? What distance will it traverse in the 10th second? View Solution