Question
How many identical spherical
marbles having a diameter of 4 cm can be made by melting a hemisphere of radius 28 cm? (Use π = 22/7)Solution
ATQ,
Volume of hemisphere = (2/3) × π × radius³ Volume of sphere = (4/3) × π × radius³ Let the required number of spheres be 'N'. So, N × (4/3) × (22/7) × (4/2)³ = (2/3) × (22/7) × 28³ Or, 'N' = 1372
6 women and 4 children can complete a piece of work in 12 days. If 3 more women join them, they can finish 3/5 of the work in 6 days. Find the time take...
24 male working 12 hours per day can finish a piece of work in 30 days, while 36 female working 8 hours per day can finish the sa...
A and B can complete a work together in 36 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed ...
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...
Komal and Seema individually can complete a task in ‘3a’ hours and ‘6a’ hours respectively. If they together can complete half of the work in 6 ...
- 'Karan', 'Ravi', and 'Deepak' together can complete a work in 24 days. 'Karan' and 'Ravi' together can complete the same work in 96 days. 'Deepak' alone ca...
32 workers can complete a task in 18 days. They all started together, but after how many days should 12 workers quit so that the task gets completed in ...
A can complete a work in 40 days. B takes 20 days less than A to complete the same work. In how many days can both of them together complete 60% of the ...
A and B can complete a work together in 20 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed by B alo...
Saurabh can complete a piece of work in 20 days. He worked for 5 days and left. Anirudh completed the remaining work in 12 days. If both of them had do...
Relevant for Exams:
