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Class 10 Maths
Surface Areas And Volumes
Quiz 1
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Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:
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7 cm
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14 cm
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56 cm
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28 cm
Explanation
14 cm
If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:
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27 : 64
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64 : 27
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4 : 3
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3 : 4
Explanation
64 : 27
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
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3 : 1 : 2
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3 : 2 : 1
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1 : 2 : 3
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1 : 3 : 2
Explanation
3 : 1 : 2
If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:
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XYZ
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3XYZ
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\(\sqrt{xyz}\)
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\(\sqrt{3xyz}\)
Explanation
\(\sqrt{xyz}\)
The volumes of two spheres are in the ratio 27 :The ratio of their curved surface is:
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9 : 4
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4 : 9
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3 : 2
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2 : 3
Explanation
9 : 4
The ratio of the volumes of two spheres is 8 :If r and R are the radii of spheres respectively, then (R - r): r is:
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1 : 2
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1 : 3
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2 : 3
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4 : 9
Explanation
1 : 2
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 :The ratio of their volumes is:
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27 : 20
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20 : 27
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9 : 4
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4 : 9
Explanation
20 : 27
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:
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2 : 3
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3 : 4
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1 : 4
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4 : 1
Explanation
1 : 4
If the volumes of a cube is 1728 cm³, the length of its edge is equal to:
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7 cm
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12 cm
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18 cm
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19 cm
Explanation
12 cm
The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .
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9.7
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72.6
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58.2
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19.4
Explanation
19.
The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:
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2772
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924
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19404
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9702
Explanation
2772
The surface areas of two spheres are in the ratio 1 :The ratio of their volume is:
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√2 : 1
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1 : 2√2
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1 : 8
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1 : 4
Explanation
1 : 2√2
The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:
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2 : 3
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3 : 2
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8 : 27
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4 : 9
Explanation
4 : 9
Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:
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80 cm²
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64 cm²
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40 cm²
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8 cm²
Explanation
40 cm²
A cylindrical pencil sharpened at one edge is combination of:
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a cone and a cylinder
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frustum of a cone and cylinder
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a hemisphere and a cylinder
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four cylinders
Explanation
a cone and a cylinder
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:
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60π cm²
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68π cm²
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1200π cm²
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136π cm²
Explanation
136π cm²
A shuttle cock used for playing badminton has the shape of a combination of:
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a cylinder and a sphere
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a cylinder and a hemisphere
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a cone and a sphere
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a frustum of a cone and a hemisphere
Explanation
a frustum of a cone and a hemisphere
The total surface area of a solid hemisphere of radius r is:
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47πr²
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2πr²
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\(\frac{4}{3}\)πr³
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3πr²
Explanation
3πr²
The radius of a wire is decreased to one third. If volume remains the same, the length will become:
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3 times
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6 times
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9 times
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27 times
Explanation
9 times
The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:
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345 cm³
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690 cm³
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115 cm³
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230 cm³
Explanation
115 cm³
0 h : 0 m : 1 s
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