Mensuration

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For what value of K, following equations have no solution 4x + 3y = 8 and (k –1)x + (k + 7)y = 3k +9
–14
no
–21
no
–17
no
–31
yes
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A right circular cone has base radius 9 cm and its height is 36 cm. A section is made by a plane parallel to its base through a height of one third the height of the cone. Find the volume of the sectioned part.
121.18 cm3
no
131.14 cm3
no
113.14 cm3
yes
132.48 cm3
no
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Water in a river which is 6 m deep and 34 m wide is flowing at the rate of 4 km/hr. How much water will fall into the sea by the river in a minute?
12800 m3
no
13800 m3
no
13600 m3
yes
12000 m3
no
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The radii of both ends of a bucket of height 28 cm are 16 cm and 10 cm respectively. Then its capacity is........
12686 cm3
no
15136 cm3
yes
15361 cm3
no
15286 cm3
no
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Find the ratio of total surface area to the lateral surface area of a cone, if base radius and height are 6 cm and 8 cm respectively.
8 : 5
yes
3 : 7
no
5 : 8
no
4 : 9
no
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The length, breadth and height of a room are 'l', 'b' and 'h' respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls is...........
100 h
no
100/h
yes
H
no
H/100
no
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If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be.........
3
yes
4
no
5
no
6
no
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A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both bowl and cylinder, then the volume of the beverage in the cylindrical vessel will be...........
66 2/3%
no
78 1/2%
no
100 %
yes
More than 100% (that is, some liquid will still be left in the bowl)
no
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Consider the volumes of the following:
1. A parallelopiped of length 5 cm, breadth 3 cm and height 4 cm.
2. A cube of each side 4 cm.
3. A cylinder of radius 3 cm and length 3 cm.
4. A sphere of radius 3 cm.
The volumes of these in the decreasing order is.......
1, 3, 2, 4
no
4, 2, 3, 1
no
1, 2, 3, 4
no
4, 3, 2, 1
yes
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A solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube?
12 cm
no
10 cm
yes
8 cm
no
6 cm
no
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