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A solid consists of a circular cylinder with an exact fitting right circular cone placed on thetop.
The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is
2h
3h/2
4h
2h/3
If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively
90, 75, 70
85, 75, 60
90, 75,60
90, 85, 60
The sides of a cube are in the ratio 1:2 the ratio of their volume is
1:4
1:8
1:2
2:1
The area of the cardboard(in cm2) needed to make a box of size 25 cm * 15 cm * 8 cm will be
1390 cm2
1220 cm2
695 cm2
1280 cm2
A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is
3000 M3
27000 M3
2700 M3
4500 M3
The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is
4:3
6: π
4:2
4:4
Find the ratio between whole surfaces of a sphere and a hemisphere
1:3
3:1
3:4
4:3
The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone
6 π cm3
8 π cm3
10 π cm3
12 π cm3
Two cylinders are of the sameheight.
Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder
60 cc
36 cc
300 cc
360 cc
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter
Rs.1185
Rs.1385
Rs.1285
Rs.1485
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is
1:64
1:8
1:4
1:16
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas
16:25
6:25
9:25
3:5
The edges of three iron cubes are 6cm; 8cm; 10cmrespectively.
A new cube was made by meltingthem.
Find the edge of the new cube
10 cm
14 cm
8 cm
12 cm
A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x6cm.
The maximum number of boxes that can be carried in 1 wooden box is
1200000
1000000
7500000
9800000
If the height of a cone is increased by 100% then its volume is increased by
100%
300%
200%
400%
A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard
45 m
50 m
25 m
35 m
The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is
3
5
4
6
How many cubes of edge 2 dm can be cut out of a meter cube
64
50
125
216
Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes
1:4
1:8
8:1
1:64
How many shots of 1cm radius can be prepared from a sphere of 3cm radius
64
27
16
36
1
2
4
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