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

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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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