Question
The height of a cone is equal to
the height of a cylinder. The curved surface area of the cylinder is 616 cm², and the height of the cylinder is twice its radius. The radius of the cone is equal to half the radius of the cylinder. Quantity I: Calculate the difference between the total surface area and the curved surface area of the cylinder. Quantity II: Determine the curved surface area of the cone. Two quantities, Quantity I and Quantity II, are provided. Your task is to solve both quantities and determine the correct relationship between them. Choose the appropriate option.Solution
ATQ,
Given:- CSA of the cylinder = 616 cm² Height of the cylinder = 2 × radius Radius of the cone = (1/2) × radius of the cylinder Find radius of the cylinder: 
Calculate Quantity I: TSA of cylinder = 924 cm² Difference = 924 - 616 = 308 cm² Calculate Quantity II: Radius of cone = 3.5 cm, slant height l=14.43 cm CSA of cone = 158.865 cm² Comparison: 308 > 158.865 Hence, Quantity I > Quantity II.
A Truck travel 300 km in 7 hours 30 minutes, if the speed of Bike 20% more than that of Truck, then find the time taken by Bike to travel 720 km.
If a person walks 25% more than of his usual speed, reaches his distance 90 minutes before. If the destination is 495 km away, then the usual speed of a...
A man first travels 140 km at 70 km/hr and next 140 km at 35 km/hr. The average speed for the first 280 km of his travelling is:
A man travels some distance at a speed of 20 km/hr and returns at a speed of 15 km/hr. If the total time taken by him is 3 hrs 30 min, the distance is <...
If a person walks 40% more than of his usual speed, reaches his distance 90 minutes before. If the destination is 441 km away, then the usual speed of a...
In a 400-metre race, ‘A’ beats ‘B’ by 20 seconds or 80 metres. Find the time taken by ‘B’ to finish the race.
‘A’ and ‘B’ started moving towards each other at same time with a speed of 22 km/hr and 14 km/hr, respectively. If the distance covered by ‘A�...
- Sneha cycles to her tuition class at a speed of 20 km/h and ends up reaching 3 hours late. Had she pedalled at 25 km/h, she would have reached exactly on t...
Two guns were fired from the same place at an interval of 20 minutes but a person in a train approaching the place hears the sound 16 minutes 30 seconds...
A car's speed is 20% faster than that of a bike. The car takes 30 minutes longer than the bike to cover 120 km, while the bike covers 80 km. Find the ti...
