Case Study Questions for Class 9 Maths Chapter 13 Surface Area and Volume

Case Study Questions

Question 1:

Nakul was doing an experiment to find the radius r of a ball. For this he took a cylindrical container with radius R = 7 cm and height 10 cm. He filled the container almost half by water as shown in the figure-1. Now he dropped the ball into the container as in figure-2.
He observed that in figure-2, the water level in the container raised from P to Q i.e, to 3.4 cm.

(i) What is the approximate radius of the ball?
(a) 3 cm
(b) 5 cm
(c) 7 cm
(d) 9 cm

(ii) What is the volume of the cylinder?
(a) 1260 cm²
(b) 540 cm³
(c) 1620 cm³
(d) 1540 cm³

(iii) What is the volume of the spherical ball?
(a) 620 cm³
(b) 824.26 cm³
(c) 523.81 cm³
(d) 430.1 cm³

(iv) How many litres of water can be filled in the full container ?
(a) 1.54 litres
(b) 2 litres
(c) 5 litres
(d) 7.5 litres

(v) What is the total surface area of the spherical ball?
(a) 441.34 cm²
(b) 314.29 cm²
(c) 620 cm²
(d) 816 cm²

Answer

Answer: