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Curved surface area of cone = π r l Volume of cone = (1/3) π r2 h Slant height = √(h2 + r2) Let the radius and height of the cone be 3x and 4x Slant height = √[(4x)2 + (3x)2 ] ⇒ √(16x2 + 9x2 ) ⇒ √25x ⇒ 5x Curved suface area = π × 3x × 5x2 ⇒ 240 π = π × 15x ⇒ x2 = 16 ⇒ x = 4 Radius = 12 cm Height = 16 cm Slant height = 20 cm Volume of the cone = (1/3) × π × 144 × 16 ⇒ 48 × 16 × π ⇒ 768 π
Ratio of the lengths of two trains ‘X’ and ‘Y’ is 3:4 respectively and the ratio of time taken by them to cross a pole is 2:3 respectively. If s...
A train of length ‘x’ m crosses a ‘x + 360’ m long platform in 60 seconds. If the train crosses a tree in 18 seconds, then find the value of ‘...
A train has to cover a distance of 90 km in 15 hours. If it covers half the journey in 4/5 th of the time, the speed to cover remaining distance in the ...
A train 270 meter long running with the speed of 80 kmph crosses a bridge in 18 seconds then what is the length of bridge?
A train can cross a pole, a bridge of 340 meter long and platform of 320 meter long in 12 seconds, _____ seconds and 28 seconds, respectively.
Th...
Two trains of same length are running in parallel tracks in the same direction with speed 61 km/hr and 115 km/hr respectively. The latter completely cro...
A train started from station P and preceded towards station Q at a speed of 64 km/h. 45 minutes later, another train started from station Q and preceded...
Two trains running at the rates of 75 and 60 kmph respectively, On parallel rails in opposite directions, are observed to pass each other in 12 seconds,...
A train moving at a speed of 'x' kilometers per hour passes a pole in 18 seconds and crosses a 240-meter long platform in 30 seconds. How far does the t...
