Question
A pipe fills a cubical tank at the rate of 243
m3 per minute in 24 minutes. If a cylindrical tank having height same as the side of a cubical tank and the curved surface area of the cylindrical tank is 1584 m2, then find the difference between the volumes of cylindrical tank and cubical tank.Solution
Capacity of cubical tank = 243 × 24 = 5832 m3 Let, side of cubical tank = ‘x’ m So, x3 = 5832 m3 x = 18 m So, height of cylindrical tank = 18 m Let, radius of cylindrical tank = ‘r’ m So, 2 × 22/7 × r × 18 = 1584 r = 14 m Volume of cylindrical tank =  22/7 × 14 × 14 × 18 = 11088 m3 Required difference = 11088 – 5832 = 5256 m³
- A shopkeeper makes a profit of 25% by selling an item for Rs. 500. What should be the selling price to make a profit of 40%?
A retailer buys two items at the same cost price. He sells one at a 25% profit and the other at a 20% loss. If the overall profit is rupees 15, find the...
If x = 3tan t, y = 3sec t, then the value of d2y/dx2 at t = π/4​ is:
The average of 26 numbers is 45. If 4 is added to each number, then the new average will be:
If tan(π/4 + θ) = 3, find tan(2θ):
A milkman initially prepared a mixture of milk and water in the ratio of 11:3. Later, he replaced half of the mixture with 30 liters of water, resulting...
A cyclist rides at a constant speed of 12 miles per hour for the first half of a journey. For the second half, the cyclist increases the speed to 18 mil...
Quantity I: ‘X’ – For a number greater than one, the difference between the number and its reciprocal is equal to 40% of t...
Relevant for Exams:
