Start learning 50% faster. Sign in now
The curved surface area of cylinder P is 16632 cm2 whose height and radius are (y+2) and (z-7) respectively. curved surface area of cylinder P = 2 x (22/7) x (z-7) x (y+2) = 16632 (44/7) x (z-7) x (y+2) = 16632 (1/7) x (z-7) x (y+2) = 378 (z-7) x (y+2) = 2646 Eq.(i) The radius of cylinder Q is 14 cm more than the radius of cylinder P. radius of cylinder Q = (z-7)+14 = (z+7) If the height of cylinder Q is equal to the square of six height of cylinder Q = 6x6 = 36 cm The curved surface area of cylinder P is 792 cm2 less than that of cylinder Q. The curved surface area of cylinder P is 16632 cm2 . 16632 = (curved surface area of cylinder Q) - 792 curved surface area of cylinder Q = 16632+792 = 17424 cm2 2 x (22/7) x (z+7) x 36 = 17424 (44/7) x (z+7) x 36 = 17424 (1/7) x (z+7) = 11 (z+7) = 77 z = 77-7 z = 70 Put the value of ‘z’ in Eq.(i). (70-7) x (y+2) = 2646 63 x (y+2) = 2646 (y+2) = 42 y = 42-2 y = 40 (i) The value of ‘y’ is the multiple of 7. The above given statement is not true. Because the value of ‘y’ is not the multiple of 7. (ii) The ratio between the volume of cylinder P and Q is (5y-11) : (3z+32) respectively. the ratio between the volume of cylinder P and Q = (5y-11) : (3z+32) = (5x40-11) : (3x70+32) = (200-11) : (210+32) = 189 : 242 So the volume of cylinder P and Q = [22/7 x (z-7) 2 x (y+2)] : [22/7 x (z+7) 2 x 36] Put the value of ‘y’ and ‘z’. = [22/7 x (z-7) 2 x (y+2)] : [22/7 x (z+7) 2 x 36] = [(70-7) 2 x (40+2)] : [(70+7) 2 x 36] = [(63) 2 x 42] : [(77) 2 x 36] = [63 x 63 x 42] : [77 x 77 x 36] = [9 x 9 x 7] : [11 x 11 x 6] = [9 x 3 x 7] : [11 x 11 x 2] = 189 : 242 The above given statement is true. (iii) The value of [(difference between the values of ‘y’ and ‘z’)/10] is a prime number. [(z-y)/10] = prime number [(70-40)/10] = prime number [30/10] = prime number prime number = 3 The above given statement is true.
A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match.
Ram scored an average of 5 goals per match in his first four games. However, he didn't score any goals in the following three matches. How many goals do...
5 positive numbers are written on a piece of paper. Sum of first 3 numbers is 70 and ratio of the 4th and the 5th number is 2:3. If difference between t...
The mean of a set of 15 numbers is 40. If the mean of the initial 5 numbers in this set is represented by the expression (12x + 10), and the mean of the...
The average salary of 36 employees ( Teachers+principals) in a School is Rs.10,375. A Principal in the School receives a salary that is 125% higher than...
A gift box has 10 bangles. The average weight of the first 4 bangles is 56gms and the average weight of the remaining 6 bangles is 57 gms. Tell the aver...
A number is such that when it is multiplied by 5, it gives another number which is as much above from 210 as the original number (itself) is below 210. ...
The average mark obtained by 140 candidates in a certain examination is 50. If the average marks of passed candidates are 55 and that of the failed cand...
The average marks scored by 20 boys and 45 girls are 88 and 94 respectively. Find the average marks scored by all the students together. (Answer should ...