CASE STUDY QUESTION 51-Class X-Maths
CASE STUDY QUESTION 51-Class X-Maths
Sanchi Stupa is a Buddhist complex in Raisen District of the state of Madhya Pradesh. A renowned architect prepared a small scale model which is an exact replica of the Stupa. The diameter of the hemispherical dome is 42 cm. The dome is filled with clay. Three chhatravalis are fixed on the top of the dome. These chhatravalis have radii 2.1 cm, 1.4 cm and 0.7 cm respectively. One Oopri Pradakshina Path is attached all around the dome. The outer diameter of this path is 49 cm.
(a) The volume of clay used to prepare the dome is
(i) 16816 cm³ (ii) 17151 cm³ (iii) 19404 cm³ (iv) 21105 cm³
(b) The architect was asked to cover all the chhatravalis by a conical chhatra (umbrella) having radius same as that of the chhatravali and height 2.4 cm. Find the area of the silk cloth required to prepare the chhatra.
(i) 4.2 cm² (ii) 5.5 cm² (iii) 6.25 cm² (iv) 7.5 cm²
(c) The chhatravalis are to be gold plated. Taking the thickness of each chhatravali to be negligible, find the area of the largest chhatravali to be gold plated.
(i) 18.56 cm² (ii) 21.14 cm² (iii) 27.72 cm² (iv) 33.36 cm²
(d) Find the cost of fixing crystals on the surface of the dome at a rate of Rs. 5 per cm2
.(i) Rs. 13860 (ii) Rs. 14445 (iii) Rs. 17475 (iv) Rs. 18360
(e) Find the area of the Oopri Pradakshina Path.
(i) 201.1 cm² (ii) 363.5 cm² (iii) 500.5 cm² (iv) 801.1 cm²
