Mathematics
A pool has a uniform circular cross section of radius 5 m and uniform depth 1.4 m. It is filled by a pipe which delivers water at the rate of 20 litres per sec. Calculate, in minutes, the time taken to fill the pool. If the pool is emptied in 42 min. by another cylindrical pipe through which water flows at 2 m per sec, calculate the radius of the pipe in cm.
Related Questions
A tent is of the shape of a right circular cylinder upto height of 3 meters and then becomes a right circular cone with a maximum height of 13.5 meters above the ground. Calculate the cost of painting the inner surface of the tent at ₹ 4 per sq. meter, if the radius of the base is 14 meters.
A copper wire of diameter 6 mm is evenly wrapped on the cylinder of length 18 cm and diameter 49 cm to cover the whole surface. Find :
(i) the length
(ii) the volume of the wire.
A sphere is placed in an inverted hollow conical vessel of base radius 5 cm and vertical height 12 cm. If the highest point of the sphere is at the level of the base of the cone, find the radius of the sphere. Show that the volume of the sphere and the conical vessel are as 40 : 81.
