This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 13 Surface Areas And Volumes – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is A) $1:3$. B) $3:1$. C) $2:3$. D) $3:2$. Show Answer Correct Answer: B) $3:1$. 2. The Total Surface Area (TSA) of a right circular cone is given by A) $\pi r^2h$. B) $\frac{1}{3}\pi r^2h$. C) $\pi rl$. D) $\pi r\left(r+l\right)$. Show Answer Correct Answer: D) $\pi r\left(r+l\right)$. 3. Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 14 m. A) 516 m$^{2}$. B) 616 m$^{2}$. C) 416 m$^{2}$. D) 316 m$^{2}$. Show Answer Correct Answer: B) 616 m$^{2}$. 4. Three shots are made by melting a solid metallic sphere of radius 6 cm. If the radii of the two shots are 3 cm and 4 cm respectively, then find the radius of the third shot. A) 4 cm. B) 5 cm. C) 3 cm. D) 2 cm. Show Answer Correct Answer: B) 5 cm. 5. The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 m$^{2}$, is A) 665 m. B) 525 m. C) 490 m. D) 860 m. Show Answer Correct Answer: B) 525 m. 6. Frustum is a ..... word A) Latin. B) Greek. C) English. D) Kannada. Show Answer Correct Answer: A) Latin. 7. Total Surface Area of a Cube is A) $6a^2$. B) $4a^2$. C) $a^3$. D) $6a^3$. Show Answer Correct Answer: A) $6a^2$. 8. The area of a circle with radius 4 cm is A) 4 $\pi$. B) 16 $\pi$. C) 8 $\pi$. D) 6 $\pi$. Show Answer Correct Answer: B) 16 $\pi$. 9. By melting a solid sphere of radius 5 cm, a solid right circular cone of the same circular base is made. The height of the cone is: A) 5 cm. B) 10 cm. C) 15 cm. D) 20 cm. Show Answer Correct Answer: D) 20 cm. 10. State whether the following statement is True or False.When a solid is converted from one shape to another, the volume of the new solid will be less than the volume of the original solid. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 11. If z = 0.064, find the value of $\left(\frac{1}{z}\right)^{\frac{1}{3}}$ A) $\frac{2}{5}$. B) $\frac{5}{3}$. C) $\frac{3}{5}$. D) $\frac{5}{2}$. Show Answer Correct Answer: D) $\frac{5}{2}$. 12. A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter A) R cm. B) H cm. C) 2h cm. D) 2r cm. Show Answer Correct Answer: D) 2r cm. 13. If the radius of a cylinder is 4cm and height is 10cm, then total surface area of cylinder is: A) 440 sq.cm. B) 352 sq.cm. C) 400 sq.cm. D) 412 sq.cm. Show Answer Correct Answer: B) 352 sq.cm. 14. The total surface area of a hemispherical solid having radius 7 cm is A) 462. B) 294. C) 588. D) 154. Show Answer Correct Answer: A) 462. 15. When radius of the sphere is doubled new volume is A) Increased by 4 times. B) Increased by 8 times. C) Remains unchanges. D) None of the above. Show Answer Correct Answer: B) Increased by 8 times. 16. If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is A) $4\pi r^2$. B) $6\pi r^2$. C) $3\pi r^2$. D) $8\pi r^2$. Show Answer Correct Answer: A) $4\pi r^2$. 17. The radii of the top and bottom of a bucket of slant height 45cm are 28cm and 7 cm respectively. The curved surface area of the bucket is ..... A) 4950 cm$^{2}$. B) 4951 cm$^{2}$. C) 4952 cm$^{2}$. D) 4953 cm$^{2}$. Show Answer Correct Answer: A) 4950 cm$^{2}$. 18. What is the volume of a cube whose surface area is 150? A) 25. B) 100. C) 125. D) 1000. Show Answer Correct Answer: C) 125. 19. The radii of two cones are in the ratio of 2:3 and their heights are in the ratio of 7:3. The ratio of their volumes is A) 20:9. B) 28:9. C) 29:29. D) None of the above. Show Answer Correct Answer: C) 29:29. 20. From a wooden cube of side cm, a right circular cylinder of maximum volume is cu. Find the volume of this cylinder. A) $\frac{\pi a^2}{4}cm^3$. B) $\frac{\pi a^3}{4}cm^3$. C) $\frac{3\pi a^2}{4}cm^3$. D) $\frac{\pi a^2}{8}cm^3$. Show Answer Correct Answer: B) $\frac{\pi a^3}{4}cm^3$. 21. The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. The diameter of the base is: A) 2cm. B) 3cm. C) 4cm. D) 6cm. Show Answer Correct Answer: A) 2cm. 22. If all dimensions of a cone are multiplied by 5, then the volume of the cone is multiplied by ..... A) 5. B) 25. C) 125. D) 10. Show Answer Correct Answer: C) 125. 23. Diameter of the base of a cone is 7 cm and its slant height is 10 cm. Find its curved surface area. A) 110 cm$^{2}$. B) 120 cm$^{2}$. C) 130 cm$^{2}$. D) 140 cm$^{2}$. Show Answer Correct Answer: A) 110 cm$^{2}$. 24. What is the total height of the cylindrical glass mentioned in Example 6? A) 14 cm. B) 12 cm. C) 10 cm. D) 8 cm. Show Answer Correct Answer: C) 10 cm. 25. For the volume of a prism, V= Bh, What does the h stand for? A) Area of the base. B) Length of the base. C) Height of the base. D) Length from base to base. Show Answer Correct Answer: D) Length from base to base. ← 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