Chapter Exam

Chapter 10: Mensuration — Online MCQ Test

Q: What is the formula for the volume of a cylinder?

Answer: A. πr²h — The volume of a cylinder is πr²h, where r is the radius and h is the height. This is the area of the circular base multiplied by the height.

Q: The curved surface area of a cone is given by which formula?

Answer: A. πrl — The curved surface area of a cone is πrl, where r is the radius of the base and l is the slant height.

Q: A cylinder has radius 7 cm and height 10 cm. What is its volume? (Use π = 22/7)

Answer: A. 1540 cm³ — Volume = πr²h = (22/7) × 7² × 10 = (22/7) × 49 × 10 = 22 × 7 × 10 = 1540 cm³.

Q: A cylindrical tank has radius 5 m and height 7 m. If it is filled with water at ₹50 per cubic meter, what is the total cost? (Use π = 22/7)

Answer: A. ₹27,500 — Volume = πr²h = (22/7) × 5² × 7 = (22/7) × 25 × 7 = 550 m³. Cost = 550 × 50 = ₹27,500.

Q: A cone's base radius is tripled while its height remains constant. By what factor does its volume increase?

Answer: C. 9 times — Volume of cone = (1/3)πr²h. If radius becomes 3r, new volume = (1/3)π(3r)²h = (1/3)π(9r²)h = 9 × (1/3)πr²h. So volume increases by 9 times.

MATHS · CLASS 10th · Telangana State Board

Practice Chapter 10: Mensuration with a free chapter-wise online MCQ test for Telangana State Board CLASS 10th MATHS. This chapter covers: Extending spatial measurement to three-dimensional geometry. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 10: Mensuration — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 10th MATHS — Chapter 10: Mensuration, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the formula for the volume of a cylinder?

A. πr²h ✓
B. 2πrh
C. πr²
D. 2πr²h

Answer: A. πr²h
The volume of a cylinder is πr²h, where r is the radius and h is the height. This is the area of the circular base multiplied by the height.

The curved surface area of a cone is given by which formula?

A. πrl ✓
B. πr²l
C. 2πrl
D. πr(r+l)

Answer: A. πrl
The curved surface area of a cone is πrl, where r is the radius of the base and l is the slant height.

A cylinder has radius 7 cm and height 10 cm. What is its volume? (Use π = 22/7)

A. 1540 cm³ ✓
B. 1480 cm³
C. 1620 cm³
D. 1400 cm³

Answer: A. 1540 cm³
Volume = πr²h = (22/7) × 7² × 10 = (22/7) × 49 × 10 = 22 × 7 × 10 = 1540 cm³.

A cylindrical tank has radius 5 m and height 7 m. If it is filled with water at ₹50 per cubic meter, what is the total cost? (Use π = 22/7)

A. ₹27,500 ✓
B. ₹30,500
C. ₹25,000
D. ₹35,000

Answer: A. ₹27,500
Volume = πr²h = (22/7) × 5² × 7 = (22/7) × 25 × 7 = 550 m³. Cost = 550 × 50 = ₹27,500.

A cone's base radius is tripled while its height remains constant. By what factor does its volume increase?

A. 3 times
B. 6 times
C. 9 times ✓
D. 27 times

Answer: C. 9 times
Volume of cone = (1/3)πr²h. If radius becomes 3r, new volume = (1/3)π(3r)²h = (1/3)π(9r²)h = 9 × (1/3)πr²h. So volume increases by 9 times.