Question
Radius of a cylindrical vessel is 3cm less than breadth
of rectangle, while height of cylindrical vessel is equal to length of rectangle, whose area is 720 cm². If ratio between length & breadth of rectangle is 5:4, then find the thickness of 1 disc, if these discs are kept one above another in cylindrical vessel and 15 discs get completely fit in cylindrical vessel.(Let radius of discs equal to radius of cylindrical vessel)?Solution
Let length & breadth of rectangle be 5x & 4x respectively Given area of rectangle = 720 cm2 5x × 4x = 720 cm2 20x2 = 720 x2 = 36 x = 6 cm Radius of cylindrical vessel = 4 × 6 − 3 = 21 cm Height of cylindrical vessel = 5 × 6 = 30 cm Volume of cylindrical vessel = π × 21 × 21 × 30 = 13230 π cm3 Let thickness of each discs be x cm So, 15 × π × x × 21 × 21 = 13230 π cm3 x = 13230/(441 x 15) x = 2 cm
‘X’ and ‘Y’ together can complete a work in 16 days, while ‘Y’ and ‘Z’ together can complete the work in 10 days. If ‘Y’ takes 20 da...
'A' can do 50% of work in 10 days, whereas 'B' can do 25% of the same work in 8 days. 'A' and 'B' started the work, but 'B' left the work 'n' days befor...
Ravi can complete a task alone in 12 days. After a few days, Mohan joins him and both complete the remaining 50% of the work in 3 days. How long will Mo...
Komal and Seema individually can complete a task in ‘3a’ hours and ‘7a’ hours respectively. If they together can complete (2/3)rd of the work in...
A can do a work in 45 days and the same the work is done in 15 days by A and B together, then in how many days B can complete the 20% of work?
A and B individually can complete the work in 20 days and 30 days respectively. If the time taken by C alone to complete the work is 1.25 times the time...
Arjun, Binny, and Chiku can collaborate to finish a particular task in 12 days. Additionally, Arjun and Binny working together can complete the task in ...
Ratio of the work done by P, Q and R in one day is 7:3:8 respectively. They all together can complete the work in 42 days. Q and R worked on it for 21 d...
A, B and C can complete the whole work in 20 days. A starts the work and works for ‘x’ days while B and C complete the remaining 3/5 of the ...
Anil and Ashish receive Rs.1600 for work of 8 days. If Anil is 3 times efficient than Ashish, then find the daily wage received by Ashish.
