Surface Areas and Volumes

The slant height of the frustum of a cone having radii of two ends as 5 cm and 2 cm respectively and height 4 cm is
1. √26 cm
2. 5cm
3. √65 cm
4. 25cm
The total surface area of a hemispherical solid having radius 7 cm is
1. 462
2. 294
3. 588
4. 154
The surface area of a sphere is 616 cm2. Its radius is
1. 7cm
2. 14cm
3. 21cm
4. 28cm
A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is
1. 2 : 1
2. 3 : 1
3. 2 : 3
4. 3 : 2
The volume of a sphere is 4851 cm³. Its diameter is
1. 3.5cm
2. 7cm
3. 14cm
4. 21cm
A piece of paper is in the shape of a semi¬circular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is
1. 5cm
2. 10cm
3. 15cm
4. 20cm
The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are
1. 9 : 25
2. 5 : 3
3. 9 : 5
4. 3 : 25
The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is
1. 55
2. 110
3. 220
4. 440
If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is
1. 3πr²
2. 4πr²
3. 5πr²
4. 6πr²
The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is
1. 10cm
2. 12cm
3. 15cm
4. 16cm
A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?
1. 90.72 cm²
2. 256.72 cm²
3. 330.3 cm²
4. 514.28 cm²
If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is
1. 4πr²
2. 6πr²
3. 3πr²
4. 8πr²
The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is
1. 4.2
2. 2.1
3. 8.1
4. 1.05
How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m3
1. 750
2. 75
3. 1500
4. 375
In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is
1. 27.33cm
2. 30cm
3. 31.33cm
4. 33.33cm
Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is
1. 36cm
2. 37.5cm
3. 32cm
4. 26.5cm
A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of cube is
1. √π:√6
2. √6:√π
3. √π:√3
4. √3:√π
A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by
1. 3
2. 4
3. 5
4. 6
A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere of diameter
1. r cm
2. 2r cm
3. h cm
4. 2h cm
A rectangular block 6 cm × 12 cm × 15 cm is cut into exact number of equal cubes. The least possible number of cubes will be
1. 6
2. 11
3. 33
4. 40

Surface Areas and Volumes

Quiz