CBSE Class 9 Surface Area and Volume Case Study Questions

Case Study Questions for Class 9 Surface Area and Volume

CBSE Class 9 Surface Area and Volume Case Study Questions

Preparing well for board exams requires practice on CBSE Class 9 Surface Area and Volume Case Study Questions. These questions test conceptual clarity and real-life application skills. Students often search for class 9 maths surface area and volume case study to improve their confidence and problem-solving approach. Moreover, cbse class 9 surface area and volume case study questions are frequently included in sample papers, making them essential for exam preparation.

Class 9 Mensuration Case Study Questions

In mensuration, students face math case study questions on surface area and volume for class 9. These involve cubes, cuboids, cylinders, and cones. Additionally, class 9 mensuration case study questions strengthen the ability to apply formulas. Therefore, solving these regularly ensures better time management. Furthermore, combining NCERT examples with online resources makes practice more effective and result-oriented.

Online Practice for Better Results

Free tests and solved examples are widely available. With proper revision and guided practice, students can enhance accuracy. Hence, consistent attempts at cbse class 9 surface area and volume case study questions will boost exam performance significantly.

Case Study 1: Surface Areas and Volumes

Case Study 1: Surface Areas and Volumes

A water tank is in the form of a right circular cylinder surmounted by a hemispherical dome. The base diameter of the cylindrical portion is 14 m and its height is 10.5 m. The municipality decided to paint the outside surface of the tank with waterproof paint. The cost of painting is calculated at the rate of Rs. 25 per square meter. The residents also planned to utilize this tank for storing water. To estimate the storage capacity, they need to calculate the volume of the entire tank. This case study requires the students to apply the formulae for the surface area and volume of a cylinder and hemisphere.

1. The radius of the cylindrical portion of the tank is:

Answer: (a) 7 m

Solution: Diameter of the base = 14 m, so radius r = 14/2 = 7 m.

2. The curved surface area of the cylindrical portion is:

Answer: (a) 462 m²

Solution: CSA = 2πrh = 2 × (22/7) × 7 × 10.5 = 462 m².

3. The surface area of the hemispherical dome is:

Answer: (b) 308 m²

Solution: Surface area of hemisphere = 2πr² = 2 × (22/7) × 7² = 308 m².

4. The total outside surface area to be painted is:

Answer: (a) 770 m²

Solution: Total area = CSA of cylinder + area of hemisphere = 462 + 308 = 770 m².

5. The volume of the whole tank is:

Answer: (c) 2335 m³

Solution: Volume = volume of cylinder + volume of hemisphere.
Volume of cylinder = πr²h = (22/7) × 7² × 10.5 = 1617 m³.
Volume of hemisphere = (2/3)πr³ = (2/3) × (22/7) × 7³ = 718 m³.
Total = 1617 + 718 = 2335 m³.

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