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Home Question Bank Math Geometry Archive 2025 January 05

Geometry Questions from Jan 05,2025

Browse the Geometry Q&A Archive for Jan 05,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The radius of a sphere is \( 2 r \), then its volume will be 6 A hemisphere bowl has a radius of 7 cm . How much water can it hold? The volume of a right circular cone is \( 770 \mathrm{~cm}^{3} \). If the radius of its base is 7 cm , find its rertical height. Class IX). ABCD is a trapezium in which \( A B \| D C \) and its diagonals intersect each other at the point \( O \). Show that \( \frac{A O}{B O}=\frac{C O}{D O} \). Example 2: \( A B C D \) is a trapezium with \( A B \| D C \). E and \( F \) are points on non-parallel sides \( A D \) and \( B C \) respectively such that \( E F \) is parallel to \( A B \) (see Fig. 6.14). Show that \( \frac{A E}{E D}=\frac{B F}{F C} \). Example \( 2: A B C D \) is a trapezium with \( A B \| D C \). \( E \) and \( F \) are points on non-parallel sides \( A D \) and \( B C \) respectively such that \( E F \) is parallel to \( A B \) b) Describe with a single word what line \( y-3 x=10 \) is to circle \( x^{2}+y^{2}=10 \) Exercice 2: Soit les points \( A(20 ; 10), B(-1 ; 1), C(60 ; 20) \) et \( D(-15 ;-5) \). Le point \( O \) est l'origine du repère. 1. Déterminer une équation de la droite \( (A B) \). 2. Les points \( \mathrm{O}, \mathrm{C} \) et D sont-ils alignés ? Justifier. 3. Les points \( \mathrm{A}, \mathrm{B} \) et D sont-ils alignés ? Justifier. 4. Déterminer une équation cartésienne de (AC) . A jewel box is in the shape of a cuboid of dimensions \( 30 \mathrm{~cm} \times 15 \mathrm{~cm} \times 10 \) surmounted by a half part of a cylinder as shown in the figure. Find the volume of box *Exercice 140 : Un ardin carré mesure 90 m de cóté, On veut l'entnurer d triple rangée de fils de fer maintenue par des piques distants de 2 m les uns autes. On prévoit une ouverture de 4 m . 1) Calcue la longueur due til de fer. 2) Le nombre de piquets atilises. 3) Quelle sera la dépense si le fil de fer a coute 2000 F et 175 F le piquet.
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