This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 13 Surface Areas And Volumes – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 12 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is Volume of a Cone? A) $\frac{1}{3}\pi r^2l$. B) $\pi r^2h$. C) $\frac{1}{3}\pi r^2h$. D) $\pi rl$. Show Answer Correct Answer: C) $\frac{1}{3}\pi r^2h$. 2. The sum of curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is A) 55. B) 110. C) 220. D) 440. Show Answer Correct Answer: C) 220. 3. Two rectangular prisms are similar. The smaller prism has a volume of 24 in$^{3}$ and the larger prism has a volume of 375 in$^{3}$. What is the ratio of the surface area of the smaller prism to the surface area of the larger prism? A) 2/5. B) 4/25. C) 8/125. D) 24/375. Show Answer Correct Answer: B) 4/25. 4. The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is: A) $20:27$. B) $27:20$. C) $27:40$. D) $40:27$. Show Answer Correct Answer: A) $20:27$. 5. The ratio of the volumes of two cones is 4:5 and the ratio of their radii of their bases is 2:3. Find the ratio of their vertical heights. A) 2:5. B) 3:5. C) 4:5. D) 9:5. Show Answer Correct Answer: D) 9:5. 6. ..... is the amount of space inside of a 3D shape. A) Surface Area. B) Volume. C) All the above. D) None of the above. Show Answer Correct Answer: B) Volume. 7. Formula for calculating total surface area of cuboid is A) 2(l+b) h + lb. B) 2(lb + bh + lh). C) 2(lb + lh + lb). D) 2lb + bh + lh. Show Answer Correct Answer: B) 2(lb + bh + lh). 8. The range of the data:21, 6, 17, 18, 12, 8, 4, 13 is A) 17. B) 12. C) 8. D) 15. Show Answer Correct Answer: A) 17. 9. The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is A) 31 cm. B) 25 cm. C) 62 cm. D) 50 cm. Show Answer Correct Answer: D) 50 cm. 10. If radius and height of a right circular cone are 5cm & 12cm respectively then its slant height is A) 7. B) 10. C) 13. D) 15. Show Answer Correct Answer: C) 13. 11. The number of solid spheres, each of diameter 6 cm that can be made by melting a solid metallic cylinder of height 45 cm and diameter 4 cm, is: A) 3. B) 4. C) 5. D) 6. Show Answer Correct Answer: C) 5. 12. What is the formulae for curved surface area of the frustum of the cone? A) $\pi\left(r_1+r_2\right)l$. B) $\frac{1}{3}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. C) $\frac{1}{3}\pi l\left(r_1^2+r_2^2+r_1r_2\right)$. D) $\pi\left(r_1+r_2\right)h$. Show Answer Correct Answer: A) $\pi\left(r_1+r_2\right)l$. 13. The ratio of the radii of two spheres is 4:5. The ratio of their total surface areas is: A) 16:25. B) 4:5. C) 8:27. D) 2:8. Show Answer Correct Answer: A) 16:25. 14. A shuttle cock used for playing badminton has the shape of the combination of A) A cylinder and a sphere. B) A cylinder and a hemisphere. C) A sphere and a cone. D) Frustum of a cone and a hemisphere. Show Answer Correct Answer: D) Frustum of a cone and a hemisphere. 15. What is the volume of a cone with a radius of 4 cm and a height of 9 cm? (Use $\frac{1}{3}\pi r^2 h$ $\pi = 3.14$ A) 150.72 cm $^3$. B) 452.16 cm $^3$. C) 113.04 cm $^3$. D) 301.44 cm $^3$. Show Answer Correct Answer: A) 150.72 cm $^3$. 16. Find the volume of a prism with a length of 5.2 inches, width of 7.1 inches, and height of 3 inches. A) 105 in$^{3}$. B) 110.76 in$^{3}$. C) 15.3 in$^{3}$. D) 147.64 in$^{3}$. Show Answer Correct Answer: B) 110.76 in$^{3}$. 17. What is total surface area? A) The sum of the surface areas of all its faces excluding the bases of the solid. B) The sum of the surface areas of all the faces of the solid. C) All the above. D) None of the above. Show Answer Correct Answer: B) The sum of the surface areas of all the faces of the solid. 18. A rectangular piece of paper 100 cm X 44 cm is rolled along its length to form a cylinder. The volume of the cylinder so formed is A) 15400 cu. cm. B) 7700 cu. cm. C) 30800 cu. cm. D) 15600 cu. cm. Show Answer Correct Answer: A) 15400 cu. cm. 19. A hollow metallic sphere with external diameter 8 cm and internal diameter 4 cm is melted and moulded into a cone having base radius 4 cm. The height of the cone is A) 12 cm. B) 14 cm. C) 15 cm. D) 18 cm. Show Answer Correct Answer: B) 14 cm. 20. A cone and a cylinder have the same radii but the height of the cone is 3 times that of the cylinder. The ratio of their volumes will be A) 3:1. B) 1:1. C) 1:3. D) 1:2. Show Answer Correct Answer: B) 1:1. 21. Curved surface area of a cylinder is A) $2\pi rh$. B) $4\pi r^2$. C) $2\pi\left(r+h\right)$. D) $\pi r^2$. Show Answer Correct Answer: A) $2\pi rh$. 22. A cube of side length 5 cm has a total surface area of: A) 25 cm$^{2}$. B) 125 cm$^{2}$. C) 100 cm$^{2}$. D) 150 cm$^{2}$. Show Answer Correct Answer: D) 150 cm$^{2}$. 23. Which figure has a greater volume?a CUBE whose edges are 6 unitsora cuboid whose edges are 5, 6 and 7 units? A) CUBOID. B) CUBE. C) BOTH HAVE SAME VOLUME. D) None of the above. Show Answer Correct Answer: B) CUBE. 24. The surface area of a cube whose edge equals to 3cm is: A) 62 sq.cm. B) 30 sq.cm. C) 54 sq.cm. D) 90 sq.cm. Show Answer Correct Answer: C) 54 sq.cm. 25. Formula for curved surface area of cone is A) $2\pi r$. B) $2\pi h$. C) $\pi rl$. D) $\pi rh$. Show Answer Correct Answer: C) $\pi rl$. ← PreviousNext →Related QuizzesClass 10 Maths Chapter 13 Surface Areas And Volumes Quiz 1Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 2Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 3Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 4Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 5Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 6Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 7Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 8Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 9Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books