The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2 : 1. The ratio of their volume is
4 : 3
3 : 4
2 : 1
1 : 2
A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is:
4250
4000
8005
8000
The length (in metres) of the longest rod that can be put in a room of dimensions 10 m x 10 m x 5 m is
15
The volume (in m3) of rain water that can be collected from 1.5 hect of ground in a rainfall of 5 cm is
75
750
7500
75000
A river 3 m deep and 40 m wide is flowing at the rate of 2 km/h. How much water (in litres) will fall into the sea in a minute?
400000
4000000
40000
4000
B.
4000000
Volume of water fall into the sea in 60 min.
= 3 x 40 x 2 x 1000 m3
In 1 min, volume of water fall into the sea:
A hemisphere and a cone have equal bases. If their heights are also equal, the ratio of their curved surfaces will be
1 : 2
2 : 1
Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it, if the water rises by 5.6 cm.
50
150
250
350
Water is flowing at the rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?
1 h
1 h 40 min
1 h 20 min
2 h 40 min
The total surface area of a sphere is square unit. The volume of the sphere is
cu unit.