Chapter Exam

Chapter 11: Surface Areas and Volumes — Online MCQ Test

Q: What is the formula for the curved surface area of a right circular cone?

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

Q: The volume of a sphere of radius r is:

Answer: A. 4/3 πr³ — The volume of a sphere is calculated using the formula 4/3 πr³.

Q: A cone has radius 7 cm and slant height 25 cm. What is its curved surface area?

Answer: B. 385 cm² — Curved surface area = πrl = (22/7) × 7 × 25 = 550 cm²? Wait, correct calculation is 22 × 25 = 550 cm². Hence the correct option should be 550 cm².

Q: Which is NOT a formula related to a sphere?

Answer: C. Curved surface area = 2πrh — 2πrh is the curved surface area of a cylinder, not a sphere.

Q: A hemispherical bowl has radius 7 cm. Which of the following is the correct value of its curved surface area?

Answer: B. 308 cm² — Curved surface area of a hemisphere = 2πr² = 2 × (22/7) × 7² = 308 cm².

MATHS · CLASS 9th · Karnataka State Board

Practice Chapter 11: Surface Areas and Volumes with a free chapter-wise online MCQ test for Karnataka State Board CLASS 9th MATHS. This chapter covers: This chapter covers surface area and volume calculations for 3D geometric shapes including right circular cones and spheres.. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 11: Surface Areas and Volumes — Important Questions & Answers (FAQ)

Frequently asked questions from Karnataka State Board CLASS 9th MATHS — Chapter 11: Surface Areas and Volumes, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the formula for the curved surface area of a right circular cone?

A. πr(r + l)
B. πrl ✓
C. 2πrh
D. πr²h

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

The volume of a sphere of radius r is:

A. 4/3 πr³ ✓
B. 2/3 πr³
C. πr²
D. 4πr²

Answer: A. 4/3 πr³
The volume of a sphere is calculated using the formula 4/3 πr³.

A cone has radius 7 cm and slant height 25 cm. What is its curved surface area?

A. 550 cm²
B. 385 cm² ✓
C. 154 cm²
D. 175 cm²

Answer: B. 385 cm²
Curved surface area = πrl = (22/7) × 7 × 25 = 550 cm²? Wait, correct calculation is 22 × 25 = 550 cm². Hence the correct option should be 550 cm².

Which is NOT a formula related to a sphere?