# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 820 - 821 of 968

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## Question number: 820

MCQ▾

### Question

A sphere of radius is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is If the sphere is submerged completely, then the surface of the water rises by________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 2.66 cm | |

b. | 0.85 cm | |

c. | 3.22 cm | |

d. | 3.4 cm |

## Question number: 821

» Triangle, Circle & Constructions

MCQ▾

### Question

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are then equals________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 3 cm | |

b. | 11 cm | |

c. | 10 cm | |

d. | 13 cm |