Mathematics
A cylindrical water tank of diameter 2.8 m and height 4.2 m is being fed by a pipe of diameter 7 cm through which water flows at the rate of 4 m s-1. Calculate, in minutes, the time it takes to fill the tank.
Related Questions
The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm, and the other dimensions are as shown.
Calculate :
(i) the total surface area,
(ii) the total volume of the solid and
(iii) the density of the material if its total weight is 1.7 kg.
The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle as shown in the adjoining figure. The tunnel is 80 m long. Calculate:
(i) its volume,
(ii) the surface area of the tunnel (excluding the floor) and
(iii) its floor area.
Water flows, at 9 km per hour, through a cylindrical pipe of cross-sectional area 25 cm2. If this water is collected into a rectangular cistern of dimensions 7.5 m by 5 m by 4 m; calculate the rise in level in the cistern in 1 hour 15 minutes.
In the following diagram a rectangular platform with a semicircular end on one side is 22 meters long from one end to the other end. If the length of the half circumference is 11 meters, find the cost of constructing the platform, 1.5 meters high at the rate of ₹ 4 per cubic meters.
