The curved surface area of cylinder P is 16632 cm2 whose height and radius are (y+2) and (z-7) respectively. The radius of cylinder Q is 14 cm more than the radius of cylinder P. The curved surface area of cylinder P is 792 cm2 less than that of cylinder Q. If the height of cylinder Q is equal to the square of six, then which of the following statements is/are true?
(i) The value of ‘y’ is the multiple of 7.
(ii) The ratio between the volume of cylinder P and Q is (5y-11) : (3z+32) respectively.
(iii) The value of [(difference between the values of ‘y’ and ‘z’)/10] is a prime number.
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.
If the shop sold 60% of the total number of pizzas baked by it on the day on which number of regular sized pizzas baked by it is maximum, then find the ...
What is the average of the percentage of marks obtained in Geography, Economics and History in 1st, 2nd and 3rd semeste...
What is the average number of fruits unsold by D and E together?
Manual cars sold in city C is what percent of total number of automatic cars sold in city E?
Find the difference between the average number of yoga class students from institutes A, B and C and the average number of swimming class students from ...
What is the difference between the number of cars sold on June and number of unsold cars on August?
Ratio of price of Black pen and Red pen is 9:5 for shopkeeper A. Total amount received after selling both pens is Rs.800. Price of Red pens sold by D is...
Which bowler has the second lowest runs/wicket?
If Profit = Total Income – total expenditure, then in 2015 profit earned is what percent of the income in that year?
Find the difference between the total comic books sold to total fiction books sold from all the shops together.