Surface Areas and Volumes
19 solved questions from Class 9 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Solve the expression: 15 + 25 × 2. medium MCQ BODMAS Rule
- 2 Find the area of a rectangle with length 8 cm and breadth 5 cm. medium MCQ Area of Rectangle
- 3 What is the volume of a cube with edge 3 cm? medium MCQ Volume of Cube
- 4 Find the 10th term of AP: 2, 7, 12, ... medium MCQ Arithmetic Progression
- 5 Distance between points (0,0) and (6,8) is: medium MCQ Distance Formula
- 6 Find surface area of a sphere with radius 7 cm (π = 22/7). medium MCQ Surface Area of Sphere
- 7 If perimeter of a circle is equal to that of a square, find ratio of their areas. medium MCQ Areas Related to Circles
- 8 What is the nth term of an AP with first term a and common difference d? medium MCQ Arithmetic Progression
- 9 Coordinates of midpoint of line joining (x₁, y₁) and (x₂, y₂) is: medium MCQ Midpoint Formula
- 10 Find the value of (2⁰ + 3⁰) × 5⁰. medium MCQ Exponent Laws
- 11 What is the domain, range, or fundamental theorem introduced in 'Surface Areas and Volumes' (Class 9 Mathematics)? medium MCQ Functions & Theorems
- 12 What is the derivative or integral formula associated with 'Surface Areas and Volumes'? medium MCQ Calculus & Formulae
- 13 How do you find the solution set or optimum value in 'Surface Areas and Volumes'? medium MCQ Problem Solving & Optimization
- 14 The surface area of a cube is 150 cm^2. Find the length of an edge of the cube and its volume. medium 3 marks Cube surface area and volume
- 15 A right circular cone has slant height 30 cm and base radius 8 cm. What is its total surface area? (Use π = 22/7). medium MCQ 4 marks Total surface area of a right circular cone
- 16 Find the volume of a cube whose edge length is 9 cm. easy 1 mark Volume of a cube
- 17 A right circular cylinder has height 10 cm. If its total surface area equals its volume, find the radius r of the cylinder. (Use π = 22/7). hard 5 marks Radius when surface area equals volume for a cylinder
- 18 What is the total surface area of a sphere with radius 5 cm? (Use \pi = \frac{22}{7}). easy MCQ 2 marks Sphere surface area
- 19 In a right circular cylinder, the radius is r cm and the height is 3r cm. If the total surface area equals the volume, find the radius r. (Use \pi = \frac{22}{7}). hard 4 marks Cylinder SA=volume relationship