/20 1234567891011121314151617181920 Oops! Time up 😔 Surface Areas and Volumes 1 / 20 1. If the height and radius of a cone are both doubled, its volume becomes A) 8 times B) 2 times C) 4 times D) 6 times 2 / 20 2. The curved surface area of a hemisphere with radius 𝑟 is A) 4πr² B) 3πr² C) 2πr² D) πr² 3 / 20 3. If the diameter of a sphere is 10 cm, its volume is A) 1000/3 π cm³ B) 1000 π cm³ C) 500/3 π cm³ D) 500 π cm³ 4 / 20 4. The volume of a sphere with radius 𝑟 is A) 2πr³ B) πr² C) 4/3 (πr³) D) 4πr³ 5 / 20 5. The volume of a cube with side 𝑎 is A) a³ B) a² C) 4a³ D) 3a² 6 / 20 6. The volume of a right circular cone is given by A) 1/3 (πr²h) B) 2πr²h C) πr²h D) 2/3 (πr²h) 7 / 20 7. The total surface area of a hemisphere with radius 𝑟 is A) 3πr² B) πr² C) 4πr² D) 2πr² 8 / 20 8. The total surface area of a cylinder is given by A) 2πr² + 2πrh B) 2πrh C) πr² + 2πrh D) 4πrh 9 / 20 9. The ratio of the volumes of a cone and a cylinder with the same height and radius is A) 3:1 B) 1:3 C) 2:1 D) 1:2 10 / 20 10. The volume of a hemisphere with radius 𝑟 is A) 1/2 (πr³) B) πr³ C) 4/3 (πr³) D) 2/3 (πr³) 11 / 20 11. If a solid sphere is melted and recast into smaller spheres of the same radius, then the number of smaller spheres formed is A) R³/r³ B) R/r C) R⁴/r⁴ D) R²/r² 12 / 20 12. The formula for the surface area of a cone is A) πr²+2πrl B) πr²+πrl C) 2πr²+πrl D) 3πr²+2πrl 13 / 20 13. The volume of a cylinder is given by A) πr²h B) 4πr²h C) πrh D) 4πrh 14 / 20 14. The shape with the largest volume for a given surface area is A) Cone B) Sphere C) Cylinder D) Cube 15 / 20 15. The slant height of a cone can be found using A) l = √(r² – h²) B) l = rh C) l = √(r + h) D) l = √(r² + h²) 16 / 20 16. The total surface area of a cube with side 𝑎 is A) a³ B) 4a² C) 3a D) 6a² 17 / 20 17. The total surface area of a sphere with radius 𝑟 is A) 2πr² B) 3πr² C) πr² D) 4πr² 18 / 20 18. The lateral surface area of a cylinder with radius 𝑟 and height ℎ is A) 4πrh B) 4πr² C) 2πrh D) 2πr² 19 / 20 19. The lateral surface area of a cone with radius 𝑟 and slant height 𝑙 is A) 2πrl B) 4πrl C) πr²l D) πrl 20 / 20 20. A hemisphere and a cylinder have the same base radius. Their height is also equal. The ratio of their volumes is A) 3:4 B) 2:3 C) 4:3 D) 3:2
