Class 9 Maths Chapter 13 Surface Areas and Volumes MCQs

Explore MCQs for Class 9 Maths – Chapter 13: Surface Areas and Volumes, complete with answers! These questions are designed as per the latest NCERT curriculum and CBSE syllabus, making them perfect for chapter-wise practice. Strengthen your concepts, test your understanding, and boost your preparation for the final exams. For even more practice, check out additional MCQs by clicking the link below.

MCQ Class 9 Maths Chapter 12 Surface Area And Volume

Question: The lateral surface area of a cylinder is:

a) πr²

b) 2πrh

c) 2πr

d) πrh

Answer: b) 2πrh

Question: The total surface area of a cube is:

a) 6a²

b) 4a²

c) 3a²

d) 2a²

Answer: a) 6a²

Question: The curved surface area of a cylinder is also known as:

a) Perimeter

b) Lateral surface area

c) Total surface area

d) Base area

Answer: b) Lateral surface area

Question: If the radius of a cylinder is doubled and the height remains the same, how does the lateral surface area change?

a) It becomes half

b) It becomes four times

c) It becomes double

d) It remains the same

Answer: d) It remains the same

Question: The total surface area of a cone is given by:

a) πr²

b) 2πr

c) πrl

d) πr² + πrl

Answer: d) πr² + πrl

Question: The volume of a cube with side ‘a’ is:

a) a³

b) 2a³

c) 4a³

d) 6a³

Answer: a) a³

Question: The total surface area of a cylinder is the sum of:

a) Base area and lateral surface area

b) Curved surface area and base area

c) Curved surface area and lateral surface area

d) Base area and height

Answer: b) Curved surface area and base area

Question: The volume of a cuboid is:

a) Length × Width × Height

b) 2 × (Length + Width + Height)

c) Length × Width

d) Height

Answer: a) Length × Width × Height

Question: The total surface area of a cylinder with radius ‘r’ and height ‘h’ is:

a) πr²

b) 2πr

c) 2πr²

d) 2πrh + 2πr²

Answer: d) 2πrh + 2πr²

Question: The radius of a sphere is 7 cm. What is its surface area?

a) 154 cm²

b) 308 cm²

c) 616 cm²

d) 1232 cm²

Answer: c) 616 cm²

Question: The volume of a cylinder with radius 5 cm and height 10 cm is:

a) 150π cm³

b) 250π cm³

c) 500π cm³

d) 1000π cm³

Answer: c) 500π cm³

Question: The lateral surface area of a cone with radius 6 cm and slant height 10 cm is:

a) 60π cm²

b) 120π cm²

c) 180π cm²

d) 360π cm²

Answer: b) 120π cm²

Question: The volume of a hemisphere with radius 4 cm is:

a) 32π cm³

b) 64π cm³

c) 128π cm³

d) 256π cm³

Answer: b) 64π cm³

Question: The total surface area of a cube is 96 cm². What is the length of its side?

a) 2 cm

b) 3 cm

c) 4 cm

d) 6 cm

Answer: c) 4 cm

Question: If the diameter of a sphere is 12 cm, what is its volume?

a) 36π cm³

b) 72π cm³

c) 144π cm³

d) 288π cm³

Answer: c) 144π cm³

More Resources for Class 9 NCERT

• NCERT Solutions for Class 9 Maths
• NCERT Solutions for Class 9 Science
• NCERT Solutions for Class 9 Social Science
• NCERT Solutions for Class 9 English

Question: The height of a cylinder is 10 cm and the radius is 4 cm. What is its volume?

a) 160π cm³

b) 320π cm³

c) 480π cm³

d) 640π cm³

Answer: b) 320π cm³

Question: The base radius of a cone is 5 cm and its slant height is 13 cm. What is its volume?

a) 325π cm³

b) 650π cm³

c) 975π cm³

d) 1300π cm³

Answer: a) 325π cm³

Question: If the lateral surface area of a cylinder is 88 cm² and its height is 7 cm, what is its radius?

a) 2 cm

b) 3 cm

c) 4 cm

d) 5 cm

Answer: a) 2 cm

Question: A cylinder has a volume of 616π cm³ and a height of 7 cm. What is its radius?

a) 4 cm

b) 7 cm

c) 8 cm

d) 14 cm

Answer: a) 4 cm

Question: The circumference of the base of a cylinder is 22 cm. What is its radius?

a) 7 cm

b) 11 cm

c) 14 cm

d) 22 cm

Answer: b) 11 cm

Question: The slant height of a cone is 10 cm and the radius is 6 cm. What is its total surface area?

a) 180π cm²

b) 240π cm²

c) 300π cm²

d) 360π cm²

Answer: c) 300π cm²

Question: The volume of a cuboid with length 5 cm, width 4 cm, and height 3 cm is:

a) 60 cm³

b) 80 cm³

c) 120 cm³

d) 200 cm³

Answer: a) 60 cm³

Question: The lateral surface area of a cone is 154 cm² and its slant height is 14 cm. What is its radius?

a) 5 cm

b) 7 cm

c) 10 cm

d) 14 cm

Answer: b) 7 cm

Question: The total surface area of a sphere is 792π cm². What is its radius?

a) 7 cm

b) 9 cm

c) 11 cm

d) 12 cm

Answer: c) 11 cm

Question: If the volume of a cylinder is 3850 cm³ and its height is 14 cm, what is its radius?

a) 5 cm

b) 7 cm

c) 10 cm

d) 14 cm

Answer: b) 7 cm

Question: The base radius of a cone is 3 cm and its volume is 36π cm³. What is its height?

a) 2 cm

b) 4 cm

c) 6 cm

d) 8 cm

Answer: c) 6 cm

Question: The curved surface area of a cylinder is 528 cm² and its height is 8 cm. What is its radius?

a) 4 cm

b) 6 cm

c) 8 cm

d) 12 cm

Answer: b) 6 cm

Question: If the volume of a sphere is 288π cm³, what is its diameter?

a) 4 cm

b) 6 cm

c) 8 cm

d) 12 cm

Answer: b) 6 cm

Question: The volume of a cone is 100π cm³ and its height is 10 cm. What is its radius?

a) 2 cm

b) 4 cm

c) 5 cm

d) 10 cm

Answer: b) 4 cm

Question: A cube has a volume of 512 cm³. What is the length of its side?

a) 4 cm

b) 6 cm

c) 8 cm

d) 10 cm

Answer: c) 8 cm