**Case study Questions on Class 9 Mathematics Chapter 13 **are very important to solve for your exam. Class 9 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 9 Maths Chapter 13 **Surface Areas and Volumes**

# Surface Areas and Volumes Case Study Questions With answers

**Case Study/Passage Based Questions**

A class teacher brings some clay in the classroom to teach the topic of mensuration. First she forms a cylinder of radius 6 cm and height 8 cm and then she molds that cylinder into sphere.

**Find the volume of the cylindrical shape.**(a) 288

**π**cm

^{3}(b) 244

**π**cm

^{3}

(c) 240

**π**cm

^{3}(d) 216

**π**cm

^{3}

Answer: (a) 288 π cm3

**When clay changes into one shape to other, which of the following remains same?**(a) Area (b) C.S.A (c) Radius (d) Volume

Answer: (d) Volume

**The radius of the sphere is**(a) 2 cm (b) 4 cm (c) 5 cm (d) 6 cm

Answer: (d) 6 cm

**Find the volume of sphere, the teacher made.**(a) 288

**π**cm

^{3}(b) 184

**π**cm

^{3}

(c) 240

**π**cm

^{3}(d) 216

**π**cm

^{3}

**Case Study/Passage Based Questions**

Ankita realised the need of food for birds on her terrace and decided to make a bird feeder. She got a flexible plastic rectangular sheet of size 44 cm × 15 cm. She rolled it along its length and joined the two opposite ends using a tape for circular base of cylinder. She found a square sheet of size 15 cm × 15 cm by cutting it into required circular shape she prepared the bird feeder as shown in figure.

**The curved surface area of the cylinder formed is**(a) 550 cm

^{2}(b) 660 cm

^{2}

(c) 430 cm

^{2}(d) 840 cm

^{2}

Answer: (b) 660 cm2

**The radius of the base of the cylinder is**(a) 5 cm (b) 6 cm (c) 7 cm (d) 8 cm

Answer: (c) 7 cm

**The area of the circular base required for the cylinder is**(a) 154 cm

^{2}(b) 164 cm

_{2}

(c) 240 cm

^{2}(d) 184 cm

^{2}

Answer: (a) 154 cm2

**How much will be the area of square sheet left unused after removing the circular base of the cylinder from it?**(a) 78 cm

^{2}(b) 62 cm

^{2}

(c) 75 cm

^{2}(d) 71 cm

^{2}

Answer: (d) 71 cm2

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