Quantitative Apitude-Volume & Surface Area
Quantitative Apitude-Volume & Surface Area
71. A cylindrical tub of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75cm. The radius of the ball is :
- 4.5 cm
- 6 cm
- 7.25 cm
- 9 cm
72. A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bows ?
- 27
- 35
- 54
- 63
73. A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is :
- 34%
- 46%
- 54%
- 66%
74. If the height of a cone is doubled, then its volume is increased by :
- 100%
- 200%
- 300%
- 400%
75. The radius of a cylinder is the same as that of sphere. Their volumes are equal. The height of the cylinder is how many times its radius ?
- 4/3
- 2/3
- 1
- 2
76. The material of a cone is converted into the shape of cylinder of equal radius. If the height of the cylinder is 6 cm, the height of the cone is :
- 2 cm
- 6 cm
- 18 cm
- 36 cm
77. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
- 15360
- 153600
- 30720
- 307200
78. An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
- 2%
- 2.02%
- 4%
- 4.04%
79. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
- 16 cm
- 18 cm
- 24 cm
- Data inadequate
80. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
- 40%
- 42%
- 44%
- 46%