Case Study Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes

Case Study Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes

Question 1:

To make the learning process more interesting creative and innovative Shavya’s class teacher brings clay in the classroom, to teach the topic. Surface Areas and Volumes. With clay, she forms a cylinder of radius 4 cm and height 18 cm. Then, she moulds the cylinder into a sphere and ask some question to students.

(i) The radius of the sphere so formed is
(a) 4 cm
(b) 6 cm
(c) 7 cm
(d) 8 cm

(ii) The volume of the sphere so formed is
(a) 905.14 cm³
(b) 903.27 cm³
(c) 1296.5 cm³
(d) 1156.63 cm³

(iii) Find the ratio of the volume of sphere to the volume of cylinder.
(a) 2 : 1
(b) 1 : 2
(c) 1 : 1
(d) 3 : 1

(iv) Total surface area of the cylinder is
(a) 553.14 cm²
(b) 751.52 cm²
(c) 625 cm²
(d) 785.38 cm²

(v) During the conversion of a solid from one shape to another the volume of new shape will
(a) be increase
(b) be decrease
(c) remain unaltered
(d) be double

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You may also like:

Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Triangles
Chapter 7 Coordinate Geometry
Chapter 8 Introduction to Trigonometry
Chapter 9 Some Applications of Trigonometry
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Areas Related to Circles
Chapter 13 Surface Areas and Volumes
Chapter 14 Statistics
Chapter 15 Probability

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