**Case study Questions on the Class 10 Mathematics Chapter 13 **are very important to solve for your exam. Class 10 Maths Chapter 13 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based** **questions for Class 10 Maths Chapter 13 **Surface Areas and Volumes**

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

# Surface Areas and Volumes Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths **Chapter 13 Surface Areas and Volumes**

**Case Study/Passage Based Questions**

Arun a 10th standard student makes a project on coronavirus in science for an exhibition in his school. In this project, he picks a sphere that has volume 38808 cm^{3} and 11 cylindrical shapes, each of volume 1540 cm^{3} with a length of 10 cm

**The diameter of the base of the cylinder is**(a) 7 cm (b) 14 cm (c) 12 cm (d) 16 cm

Answer: (b) 14 cm

**The diameter of the sphere is**(a) 40 cm (b) 42 cm (c) 21 cm (d) 20 cm

Answer: (b) 42 cm

**The total volume of the shape formed is**(a) 85541 cm

^{3}(b) 45738 cm

^{3}

(c) 24625 cm

^{3}(d) 55748 cm

^{3}

Answer: (d) 55748 cm3

**The curved surface area of the one cylindrical shape is**(a) 850 cm

^{2 }(b) 221 cm

^{2}

(c) 440 cm

^{2}(d) 540 cm

^{2}

Answer: (c) 440 cm2

**The total area covered by cylindrical shapes on the surface of a sphere is**(a) 1694 cm

^{2}(b) 1580 cm

^{2}

(c) 1896 cm

^{2}(d) 1470 cm

^{2}

Answer: (a) 1694 cm2

**Classroom Activity**To make the learning process more interesting, creative, and innovative, Amayra’s class teacher brings clay in the classroom, to teach the topic Surface Areas and Volumes. With clay, she forms a cylinder of radius 6 cm and height 8 cm. Then she molds the cylinder into a sphere and asks some questions to students.

**The radius of the sphere so formed is**(a) 4 cm (b) 6 cm

(c) 7 cm (d) 8 cm

Answer: (b) 6 cm

**The volume of the sphere so formed is**(a) 905.14 cm

^{3}(b) 903.27 cm

^{3}

(c) 1296.5 cm

^{3}(d) 1156.63 cm

^{3}

Answer: (a) 905.14 cm3

**Find the ratio of the volume of the sphere to the volume of a cylinder.**(a) 2 : 1 (b) 1 : 2

(c) 1 : 1 (d) 3 : 1

Answer: (c) 1 : 1

**Total surface area of the cylinder is**(a) 528 cm

^{2}(b) 756 cm

^{2}

(c) 625 cm

^{2}(d) 636 cm

^{2}

Answer: (a) 528 cm2

**During the conversion of a solid from one shape to another the volume of new shape will**(a) be an increase (b) be decrease

(c) remain unaltered (d) be double

Answer: (c) remain unaltered

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**Surface Areas and Volumes**By Team Study Rate