SECTION B — Very Short Answer Type Questions [2 Marks Each]
- 2 Marks Q1.Two cubes each of volume $64\text{ cm}^3$ are joined end to end. Find the surface area of the resulting cuboid.
- 2 Marks Q2. A cuboidal container has dimensions $15\text{ cm} \times 10\text{ cm} \times 3.5\text{ cm}$. Find its total surface area.
- 2 Marks Q3. Find the volume of a cylinder whose radius is $3.5\text{ cm}$ and height is $10\text{ cm}$.
- 2 Marks Q4. The curved surface area of a right circular cylinder of height $14\text{ cm}$ is $88\text{ cm}^2$. Find the diameter of the base of the cylinder.
- 2 Marks Q5. A solid metallic cuboid of dimensions $9\text{ cm} \times 11\text{ cm} \times 12\text{ cm}$ is melted and recast into solid spherical marbles of diameter $3\text{ cm}$. Find the number of marbles.
- 2 Marks Q6. The total surface area of a solid hemisphere is $462\text{ cm}^2$. Find its radius.
- 2 Marks Q7. A solid is in the shape of a hemisphere surmounted by a cone. If the radius of the hemisphere is $3.5\text{ cm}$ and the total height of the solid is $9.5\text{ cm}$, find the height of the cone.
- 2 Marks Q8. Find the ratio of the total surface area of a solid hemisphere to the square of its radius.
- 2 Marks Q9. Three cubes of iron whose edges are $6\text{ cm}$, $8\text{ cm}$, and $10\text{ cm}$ respectively are melted to form a single cube. Find the edge of the new cube
- 2 Marks Q10. The curved surface area of a right circular cylinder is $1760\text{ cm}^2$ and its base radius is $14\text{ cm}$. Find its height.
- 2 Marks Q11. If the radius of the base of a right circular cylinder is halved, keeping the height same, find the ratio of the volume of the reduced cylinder to that of the original cylinder.
- 2 Marks Q12. A well of diameter $3\text{ m}$ is dug $14\text{ m}$ deep. Find the volume of the earth dug out.
- 2 Marks Q13. A rectangular sheet of paper $40\text{ cm} \times 22\text{ cm}$ is rolled along its length to form a hollow cylinder. Find the radius of the cylinder
- 2 Marks Q14. Find the curved surface area of a cone whose slant height is $10\text{ cm}$ and base radius is $7\text{ cm}$.
- 2 Marks Q15. The radius and height of a cone are in the ratio $3:4$ and its volume is $301.44\text{ cm}^3$. Find its radius ($\text{Use }\pi = 3.14$).
- 2 Marks Q16. Find the surface area of a sphere of radius $7\text{ cm}$
- 2 Marks Q17. The surface area of a sphere is $616\text{ cm}^2$. Find its radius.
- 2 Marks Q18. A hemispherical bowl of internal radius $9\text{ cm}$ is full of liquid. This liquid is to be filled in cylindrical bottles of diameter $3\text{ cm}$ and height $4\text{ cm}$. Find the number of bottles needed.
- 2 Marks Q19. If the radius of a sphere is doubled, find the ratio of the volume of the new sphere to that of the original sphere.
- 2 Marks Q20. Find the total surface area of a cone of base radius $r$ and slant height $2l$.
- 2 Marks Q21. The height of a cone is $15\text{ cm}$. If its volume is $1570\text{ cm}^3$, find the radius of the base ($\text{Use }\pi = 3.14$).
- 2 Marks Q22. A solid sphere of radius $r$ is melted and recast into a solid cylinder of height $r$. Find the radius of the base of the cylinder.
- 2 Marks Q23. Find the volume of the largest right circular cone that can be fitted in a cube of edge $4\text{ cm}$.
- 2 Marks Q24. The diameter of a metallic sphere is $6\text{ cm}$. It is melted and drawn into a wire of diameter $0.2\text{ cm}$. Find the length of the wire.
- 2 Marks Q25. A spherical ball of radius $3\text{ cm}$ is melted and recast into three spherical balls. If the radii of two balls are $1.5\text{ cm}$ and $2\text{ cm}$, find the radius of the third ball.
Academic Repository Disclaimer & எச்சரிக்கை அறிவிப்பு :
English: These model solutions are structured to global academic standards for self-assessment and practice purposes. Students are advised to verify with official textbooks for board examinations.
தமிழ்: இந்த மாதிரி கணிதத் தீர்வுகள் மாணவர்களின் சுய கற்றல் மற்றும் பயிற்சித் திறனுக்காக உலகளாவிய கல்வித் தரத்தில் உருவாக்கப்பட்டுள்ளன. தேர்வுகளுக்குத் தயாராகும் போது உங்கள் அதிகாரப்பூர்வ பாடப்புத்தகத்துடன் சரிபார்க்கவும்.
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