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For an inscribed sphere in a cone, the radius of the sphere r is given by the formula: r = (r × h) / √(r² + h²), where r is the radius of the cone’s base, and h is its height. Substituting the values: r = (7 × 24) / √(7² + 24²) = 168 / √(49 + 576) = 168 / 25 = 6.72 cm.
A train 600 metres long is running at a speed of 54 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
Two cars start from a place with a speed of 45 km/hr at an interval of 10 minutes. What is the speed of a man coming from the opposite direction towards...
The length of a rectangle is 10 cm more than its width. If the perimeter of the rectangle is 40 cm, find the area of the rectangle.
A train 450 metre long takes 30 sec to cross a man running at a speed of 6 km/hr in the direction same to that of train. What is the speed of the train?
Two trains of same length are running in parallel tracks in the same direction with speed 55 km/hr and 115 km/hr respectively. The latter completely cro...
What will be the length of train 1?
Statement I: If train 1 covers a standing man in 12 sec.
Statement II: if a train 1 covers a plat...
A train moves at 90 km/h to arrive at its station on time. If it moves at 100 km/h, it will arrive 15 minutes earlier. Find the t...
A motor car travels a distance of 180 km at the speed of 20 kmph. If it covers the next 100 km of its journey at the speed of 20 kmph and last 40 km of ...
A train can cross a man standing on a platform of 250 metres length in 70 seconds and can cross the platform in 87.5 seconds. Find the length of the train.