Q. 1 धातु का एक बंद बेलनाकार डिब्बा 1.08 m ऊँचा है और इसके आधार की त्रिज्या 42 cm है। यदि धातु की शीट की कीमत ₹ 90 प्रति \( \mathrm{m}^{2} \) है, तो डिब्बा में प्रयुक्त सामग्री की कीमत कितनी है? (जहाँ \( \pi=\frac{22}{7} \) )

Soit \( A B C \) un triangle. Eet \( F \) deux points tel que: \( \overrightarrow{B E}=2 \overrightarrow{A C} \quad \) et \( \overrightarrow{C F}=\frac{1}{2} \overrightarrow{A B} \) 1) Construire les points \( E \) et \( F \). 2) Montrer que : \( \overrightarrow{A E}=\overrightarrow{A B}+2 \overrightarrow{A C} \quad \) et \( \overrightarrow{A F}=\frac{1}{2} \overrightarrow{A B}+\overrightarrow{A C} \)

Explain the relationship between the area of cross-sections of a three-dimensional shape and its total volume.

111. The sum of the length, breadth and height of a cuboid is 38 cm and the length of its \( \vee \backslash \) diagonal is 22 cm . Find the surface area of the cuboid. Given : \( 1+b+h=38 \) and \( P^{2}+b^{2}+h^{2}=22^{2} \) To find : \( 2(l b+b h+h l) \)

6. ABCD is a quadrilateral, and AC and BD are its diagonals. Is \( \mathrm{AB}+\mathrm{BC}+\mathrm{CD}+\mathrm{DA}>\mathrm{AC}+\mathrm{BD} \) ? 7. ABCD is a quadrilateral and \( O \) is any point in its interior in the given figure Show that \( A B+B C+C D+D A<2(O A+O B+O C+O D) \).

102. The sides of right-angled triangle, containing \( \sqrt{ } 3 \) the right-angle, are \( 5 x \mathrm{~cm} \) and \( (3 x-1) \mathrm{cm} \). Calculate the length of the hypotenuse of the triangle, if its area is \( 60 \mathrm{~cm}^{2} \).