This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 13 Surface Areas And Volumes – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 13 Surface Areas And Volumes Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Volume of a Solid Shape is A) Perimeter of the Base X Height. B) Area of the Base X Height. C) All the above. D) None of the above. Show Answer Correct Answer: B) Area of the Base X Height. 2. If the ratio of radii of two spheres is 2:5, what is the ratio of their volumes? A) 2:5. B) 4:9. C) 8:125. D) Not enough information. Show Answer Correct Answer: C) 8:125. 3. The Curved surface area of a right circular cylinder is 4.4 sq.cm. The radius of the base is 0.7 cm. The height of the cylinder will be: A) 2 Cm. B) 3 Cm. C) 1 Cm. D) 1.5 Cm. Show Answer Correct Answer: C) 1 Cm. 4. What is the formulae for volume 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) $\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. Show Answer Correct Answer: B) $\frac{1}{3}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$. 5. The Curved Surface Area (CSA) 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: C) $\pi rl$. 6. The volume and surface area of a sphere are numerically the same. Find the volume of the smallest cylinder in which the sphere is exactly kept. A) $24\\pi$. B) $54\\pi$. C) $48\\pi$. D) $64\\pi$. Show Answer Correct Answer: B) $54\\pi$. 7. The surface areas of two spheres are in the ratio 1:4. Then the ratio of their volumes is: A) 1:4. B) 1:8. C) 1:16. D) 1:64. Show Answer Correct Answer: B) 1:8. 8. The ratio of the volume of a cube to that of the sphere which fits inside the cube is A) 6:$\pi$. B) $\pi$. C) 3:$\pi$. D) $\pi$. Show Answer Correct Answer: A) 6:$\pi$. 9. If the radius of a sphere is doubled, then what is the ratio of their surface area? A) 1:2. B) 2:1. C) 1:4. D) 4:1. Show Answer Correct Answer: C) 1:4. 10. The volume of two spheres are in ratio 64:27. The ratio of their surface areas is A) 16:3. B) 16:9. C) 9:16. D) 3:16. Show Answer Correct Answer: B) 16:9. 11. Formula for calculating total surface area of cone is A) $\pi r\left(l+r\right)$. B) $2\pi\left(l+r\right)$. C) $2\pi\left(h+r\right)$. D) $\pi\left(l+r\right)h$. Show Answer Correct Answer: A) $\pi r\left(l+r\right)$. 12. Which label would NOT be appropriate for volume. A) Square miles. B) Inches$^{3}$. C) Cm$^{3}$. D) Cubic feet. Show Answer Correct Answer: A) Square miles. 13. The three fourth part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. What is the height of water in cylindrical vessel? A) 1 cm. B) 2.5 cm. C) 1.5 cm. D) 2 cm. Show Answer Correct Answer: C) 1.5 cm. 14. By what factor would the volume of a triangular prism decrease if the dimensions (side lengths) were decreased by a factor of 1/3? A) 1/3. B) 1/6. C) 1/9. D) 1/27. Show Answer Correct Answer: D) 1/27. 15. Which of the following is not a 3D shape? A) Sphere. B) Cubiod. C) Hexagon. D) Cylinder. Show Answer Correct Answer: C) Hexagon. 16. A solid metallic cone is melted and convertes into a cylinder .The volume of the new shape will A) Increase. B) Decrease. C) Remains unaltered. D) Be doubled. Show Answer Correct Answer: C) Remains unaltered. 17. The radius of a wheel is 0.25m. The number of revolutions it will make to travel a distance of 11km is A) 6500. B) 7000. C) 6050. D) 7500. Show Answer Correct Answer: B) 7000. 18. If the lateral area of a cylinder of radius 13 cm and height 21 cm is to be covered with paper, then the area of the paper required is A) 1588 sq cm. B) 3210 sq cm. C) 2345 sq cm. D) 1716 sq cm. Show Answer Correct Answer: D) 1716 sq cm. 19. Frustum is the part of ..... A) Cone. B) Triangle. C) Square. D) Rectangle. Show Answer Correct Answer: A) Cone. 20. A rectangular prism has a volume of 16 cm$^{3}$. If the height of the prism is tripled and the other dimensions stay the same, what is the volume of the new A) 5 cm$^{3}$. B) 16 cm$^{3}$. C) 19 cm$^{3}$. D) 48 cm$^{3}$. Show Answer Correct Answer: D) 48 cm$^{3}$. 21. The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is A) 1:4. B) 1:3. C) 2:3. D) 2:1. Show Answer Correct Answer: A) 1:4. 22. .... is the total surface area for the cylinder, whose radius is 7 cm and height is 13 cm. A) 880 cm$^{2}$. B) 770 cm$^{2}$. C) 650 cm$^{2}$. D) 500 cm$^{2}$. Show Answer Correct Answer: A) 880 cm$^{2}$. 23. What is the radius of the base of the right circular cylinder that circumscribes the toy? A) 4 cm. B) 3 cm. C) 2 cm. D) 1 cm. Show Answer Correct Answer: C) 2 cm. 24. The volumes of two spheres are in the ratio 27:8. The ratio of their curved surface area is: A) 2:3. B) 4:9. C) 9:4. D) 3:2. Show Answer Correct Answer: C) 9:4. 25. During conversion of a solid from one shape to another, the volume of the new shape will A) Increase. B) Decrease. C) Remain unaltered. D) Be doubled. Show Answer Correct Answer: C) Remain unaltered. ← 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 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