Check the below NCERT MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have provided Surface Areas and Volumes Class 10 Maths MCQs Questions with Answers to help students understand the concept very well. https://mcqquestions.guru/mcq-questions-for-class-10-maths-chapter-13/
Students can also refer to NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes for better exam preparation and score more marks.
Surface Areas and Volumes Class 10 MCQs Questions with Answers
Surface Area And Volume Class 10 MCQ Question 1.
If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:
(a) 27 : 64
(b) 64 : 27
(c) 4 : 3
(d) 3 : 4
Answer
Answer: (b) 64 : 27
Surface Area And Volume MCQ Question 2.
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
(a) 3 : 1 : 2
(b) 3 : 2 : 1
(c) 1 : 2 : 3
(d) 1 : 3 : 2
Answer
Answer: (a) 3 : 1 : 2
Surface Area And Volume Class 10 MCQ With Answers Question 3.
If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:
(a) XYZ
(b) 3XYZ
(c) \(\sqrt{xyz}\)
(d) \(\sqrt{3xyz}\)
Answer
Answer: (c) \(\sqrt{xyz}\)
Class 10 Maths Chapter 13 MCQ Question 4.
The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:
(a) 9 : 4
(b) 4 : 9
(c) 3 : 2
(d) 2 : 3
Answer
Answer: (a) 9 : 4
MCQ Of Chapter 13 Maths Class 10 Question 5.
The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r): r is:
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) 4 : 9
Answer
Answer: (a) 1 : 2
MCQ On Surface Area And Volume Question 6.
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) 27 : 20
(b) 20 : 27
(c) 9 : 4
(d) 4 : 9
Answer
Answer: (b) 20 : 27
MCQ On Surface Area And Volume Class 10 Question 7.
If the radius of 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) 2 : 3
(b) 3 : 4
(c) 1 : 4
(d) 4 : 1
Answer
Answer: (c) 1 : 4
Surface Area And Volume MCQ Questions Class 10 Question 8.
If the volumes of a cube is 1728 cm³, the length of its edge is equal to:
(a) 7 cm
(b) 12 cm
(c) 18 cm
(d) 19 cm
Answer
Answer: (b) 12 cm
MCQ Surface Area And Volume Class 10 Question 9.
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .
(a) 9.7
(b) 72.6
(c) 58.2
(d) 19.4
Answer
Answer: (d) 19.
Class 10 Surface Area And Volume MCQ Question 10.
The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:
(a) 2772
(b) 924
(c) 19404
(d) 9702
Answer
Answer: (a) 2772
MCQ On Surface Area And Volume Class 10 Pdf Question 11.
The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:
(a) √2 : 1
(b) 1 : 2√2
(c) 1 : 8
(d) 1 : 4
Answer
Answer: (b) 1 : 2√2
MCQ Questions For Class 10 Maths Chapter 13 Question 12.
The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:
(a) 2 : 3
(b) 3 : 2
(c) 8 : 27
(d) 4 : 9
Answer
Answer: (d) 4 : 9
MCQ Questions For Class 10 Maths Surface Area And Volume Question 13.
Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:
(a) 80 cm²
(b) 64 cm²
(c) 40 cm²
(d) 8 cm²
Answer
Answer: (c) 40 cm²
Ch 13 Maths Class 10 MCQ Question 14.
A cylindrical pencil sharpened at one edge is combination of:
(a) a cone and a cylinder
(b) frustum of a cone and cylinder
(c) a hemisphere and a cylinder
(d) four cylinders
Answer
Answer: (a) a cone and a cylinder
MCQ Of Surface Area And Volume Class 10 Question 15.
Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:
(a) 7 cm
(b) 14 cm
(c) 56 cm
(d) 28 cm
Answer
Answer: (b) 14 cm
Question 16.
The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):
(a) 256
(b) 128
(c) 64√2
(d) 64
Answer
Answer: (b) 128
Question 17.
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:
(a) 60π cm²
(b) 68π cm²
(c) 1200π cm²
(d) 136π cm²
Answer
Answer: (d) 136π cm²
Question 18.
A shuttle cock used for playing badminton has the shape of a combination of:
(а) a cylinder and a sphere
(b) a cylinder and a hemisphere
(c) a cone and a sphere
(d) a frustum of a cone and a hemisphere
Answer
Answer: (d) a frustum of a cone and a hemisphere
Question 19.
The total surface area of a solid hemisphere of radius r is:
(a) 47πr²
(b) 2πr²
(c) \(\frac{4}{3}\)πr³
(d) 3πr²
Answer
Answer: (d) 3πr²
Question 20.
The radius of a wire is decreased to one third. If volume remains the same, the length will become:
(a) 3 times
(b) 6 times
(c) 9 times
(d) 27 times
Answer
Answer: (c) 9 times
Question 21.
The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:
(a) 345 cm³
(b) 690 cm³
(c) 115 cm³
(d) 230 cm³
Answer
Answer: (c) 115 cm³
Question 22.
The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:
(a) 22 cm
(b) 24 cm
(c) 10 cm
(d) 25 cm
Answer
Answer: (b) 24 cm
Question 23.
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:
(a) 9.7
(b) 77.6
(c) 58.2
(d) 19.4
Answer
Answer: (d) 19.4
Question 24.
By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:
(a) 20 cm
(b) 10 cm
(c) 5 cm
(d) 12 cm
Answer
Answer: (a) 20 cm
Question 25.
A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:
(a) 3 : 1
(b) 1 : 3
(c) 2 : 3
(d) 1 : 1
Answer
Answer: (a) 3 : 1
Question 26.
Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:
(a) 3 cm
(b) 6 cm
(c) 12 cm
(d) 8 cm
Answer
Answer: (b) 6 cm
Question 27.
The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:
(a) 100
(b) 9
(c) 75
(d) 20
Answer
Answer: (c) 75
We hope the given NCERT MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download will help you. If you have any queries regarding Surface Areas and Volumes CBSE Class 10 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.
