This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 13 Surface Areas And Volumes – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Two cubes each of volume 27 cm$^{3}$ are joined end to end to form a solid. Find the surface area of the resulting cuboid. A) 99cm2. B) 90cm2. C) 9cm2. D) None of the above. Show Answer Correct Answer: B) 90cm2. 2. A solid metallic sphere of diameter 8 cm is melted and drawn into a cylindrical wire of uniform width. If the length of the wire is 12 m, find its width. A) 2/15 am. B) 4/15 cm. C) 8/15 cm. D) 4/30 cm. Show Answer Correct Answer: C) 8/15 cm. 3. Total Surface Area of a Hemisphere is A) $\pi r^2$. B) $2\pi r^2$. C) $3\pi r^2$. D) $4\pi r^2$. Show Answer Correct Answer: C) $3\pi r^2$. 4. What is the formula for the volume of a cuboid? A) 2h (l+b). B) L x b x h. C) Lb x bh x hl. D) 2(l+b). Show Answer Correct Answer: B) L x b x h. 5. Two cubes of edge 6 cm are joined to form a cuboid. Find the total surface area of the cuboid A) 260 cm sq. B) 300 cm sq. C) 360 cm sq. D) 180 cm sq. Show Answer Correct Answer: C) 360 cm sq. 6. A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball? A) 10 cm. B) 9 cm. C) 8 cm. D) 9.5 cm. Show Answer Correct Answer: B) 9 cm. 7. The ratio of surface area and volume of the sphere of unit radius is A) 3:4. B) 4:3. C) 3:1. D) 1:3. Show Answer Correct Answer: C) 3:1. 8. Volume of a frustum of a cone is ..... A) $\frac{1}{3}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. B) $\frac{1}{2}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. C) $\frac{3}{5}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. D) $\frac{4}{3}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. Show Answer Correct Answer: A) $\frac{1}{3}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. 9. Volume of a right circular cylinder is A) $\pi r^2h$. B) $2\pi rh$. C) $4\pi r^2h$. D) $2\pi r^2h$. Show Answer Correct Answer: A) $\pi r^2h$. 10. If the radius of the base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is: A) $1:2$. B) $2:3$. C) $3:4$. D) $1:4$. Show Answer Correct Answer: D) $1:4$. 11. What is the relationship between the volume of a cone and a cylinder with the same base and height? A) The volume of the cone is twice that of the cylinder. B) The volume of the cone is half that of the cylinder. C) The volume of the cone is equal to the volume of the cylinder. D) The volume of the cone is one-third that of the cylinder. Show Answer Correct Answer: D) The volume of the cone is one-third that of the cylinder. 12. A solid sphere of radius 'r' is melted and recast into the sphere of a solid cone of height 'r'. The radius of the base of the cone is A) R. B) 3r. C) 4r. D) 2r. Show Answer Correct Answer: D) 2r. 13. Two similar rectangular prisms have widths of 30 centimeters and 50 centimeters. If the larger prism has a volume of 812.5 cm$^{3}$, then what is the volume of the smaller prism? A) 1354.17 cm$^{3}$. B) 487.5 cm$^{3}$. C) 175.5 cm$^{3}$. D) 292.5 cm$^{3}$. Show Answer Correct Answer: C) 175.5 cm$^{3}$. 14. In a right circular cone, the cross section made by a plane parallel to the base is a? A) Circle. B) Frustum of cone. C) Sphere. D) Hemisphere. Show Answer Correct Answer: A) Circle. 15. The total surface area of a solid hemi-sphere of radius $r$ A) $2\pi r^2$. B) $3\pi r^2$. C) $4\pi r^2$. D) $\frac{4}{3}\pi r^3$. Show Answer Correct Answer: B) $3\pi r^2$. 16. Surface area of open cube is: A) $4a^2$. B) $5a^3$. C) $5a^2$. D) None of the above. Show Answer Correct Answer: C) $5a^2$. 17. Formula for volume of cone is A) $\pi r^2h$. B) $\frac{1}{3}\pi rh$. C) $\frac{1}{3}\pi r^2h$. D) $\pi rh^2$. Show Answer Correct Answer: C) $\frac{1}{3}\pi r^2h$. 18. If the surface area of a sphere is 616 cm2, its diameter (in cm) is A) 7. B) 14. C) 28. D) 56. Show Answer Correct Answer: B) 14. 19. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank. A) 10250 cm3. B) 11250 cm3. C) 11250 ft3. D) 10250 ft3. Show Answer Correct Answer: B) 11250 cm3. 20. A conical flask is full of water. The flask has base radius r and height h. The water is poured into a cylindrical flask of base radius $mr.$ A) $\frac{h}{3m^3}$. B) $\frac{h}{3m^2}$. C) $\frac{3m}{h}$. D) $\frac{3m^2}{h}$. Show Answer Correct Answer: B) $\frac{h}{3m^2}$. 21. A metallic spherical shell of internal and external diameters 4 cm and 8 cm respectively, is melted and recast into the form of a cone with base diameter 8cm. 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. 22. The Total Surface Area (TSA) of a right circular cylinder is given by A) $\pi r^2h$. B) $\frac{1}{3}\pi r^2h$. C) $2\pi rh$. D) $2\pi r\left(r+h\right)$. Show Answer Correct Answer: D) $2\pi r\left(r+h\right)$. 23. The volume of a cube whose edge is 's' is given by the formula A) $s^3$. B) $4s^2$. C) $6s^2$. D) $s^2$. Show Answer Correct Answer: A) $s^3$. 24. The volume of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: A) 19.4 $cm^3$. B) 29.4 $cm^3$. C) 92.8 $cm^3$. D) 49.6 $cm^3$. Show Answer Correct Answer: A) 19.4 $cm^3$. 25. If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5 cm and height 6 cm, then how much water flows out of the cylindrical cup? A) 38.8 cm$^{3}$. B) 55.4 cm$^{3}$. C) 19.4 cm$^{3}$. D) 471.4 cm$^{3}$. Show Answer Correct Answer: A) 38.8 cm$^{3}$. ← 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 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 10Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books