(a) (b) A solid spherical ball of radius 6 cm is melted and recast into 64 identical spherical marbles. Find the radius of each marble. Each of the letters of the word 'AUTHORIZES' is written on identical circular discs and put in a bag. They are well shuffled. If a disc is drawn at random from the bag. what is the probability that the letter is: (i) a vowel (ii) one of the first 9 letters of the English alphabet which appears in the given word (iii) one of the last 9 letters of the English alphabet which appears in the given word? (c) Mr. Bedi visits the market and buys the following articles: Medicines costing 950, GST @ 5% A pair of shoes costing 3000, GST @ 18% S A Laptop bag costing 1000 with a discount of 30%, GST @ 18%. (i) Calculate the total amount of GST paid. (ii) The total bill amount including GST paid by Mr. Bedi. ng App