Mensuration Case Study Questions Class 10

Mensuration Case Study Questions Class 10 | CBSE & NCERT Solutions

Overview of Mensuration in Class 10

Solving Mensuration Case Study Questions Class 10 helps students apply concepts of geometry in practical situations. Along with Surface Areas and Volumes Class 10 Case Study, learners get exposure to real-life problem solving. These Case Study Questions on Mensuration cover topics like cones, spheres, and cylinders with detailed applications.

PDF Resources and Practice Material

Teachers often recommend Class 10 Maths Surface Areas and Volumes Case Study Pdf for revision. These files contain Cbse Class 10 Surface Areas and Volumes Case Study and Surface Areas and Volumes Case Study Questions With Solutions. Moreover, solving a Class 10 Maths Case Study on Surface Areas and Volumes improves accuracy and clarity.

Board Exam Preparation

Practicing Surface Areas and Volumes Case Study Based Questions Class 10 helps in scoring well. Students can also check Case Study Surface Areas and Volumes Class 10 With Answers for self-assessment. Consistently attempting Class 10 Case Study Questions Maths Surface Areas and Volumes and Cbse Case Study Questions Maths Class 10 Surface Areas and Volumes strengthens preparation. Therefore, regular practice is essential for success in exams.

Case Study 3: Ice-Cream Cone Manufacturing

Case Study 3 Mensuration for Calss 10

A company is manufacturing ice-cream cones with a hemispherical scoop on top. The cone has a height of 9 cm and a radius of 3.5 cm. Each ice-cream scoop is placed perfectly on top of the cone, forming a solid consisting of a cone and a hemisphere. The company wants to know the surface area of this combination for designing wrappers, and the volume of the ice-cream for production estimates. Additionally, they want to calculate the total ice-cream produced if 500 such cones are prepared in a day. Based on this scenario, answer the following questions.

1. The volume of the cone is:

Answer: (a) 115.5 cm³

Solution: Volume of cone = ⅓πr²h = ⅓ × 22/7 × (3.5)² × 9 = 115.5 cm³.

2. The volume of the hemisphere is:

Answer: (a) 89.8 cm³

Solution: Volume of hemisphere = ⅔πr³ = ⅔ × 22/7 × (3.5)³ = 89.8 cm³.

3. The total volume of ice-cream in one cone with scoop is:

Answer: (b) 205.3 cm³

Solution: Total volume = 115.5 + 89.8 = 205.3 cm³.

4. The total ice-cream produced in 500 cones is:

Answer: (a) 102,650 cm³

Solution: 205.3 × 500 = 102,650 cm³.

5. The curved surface area of cone plus curved surface of hemisphere is:

Answer: (b) 214.5 cm²

Solution: CSA of cone = πrl, with l = √(r² + h²) = √((3.5)² + 9²) = 9.66 cm. CSA of cone = π × 3.5 × 9.66 = 106.2 cm². CSA of hemisphere = 2πr² = 2 × 22/7 × (3.5)² = 77 cm². Total = 183.2 cm². None of the given options match exactly. Suggested correction: Option should be around 183 cm².

Quiz Results

Correct Answers: 0

Incorrect Answers: 0

Percentage Score: 0%

Educational Resources Footer