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Surface Areas And Volumes
Quiz 2
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The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:
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22 cm
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24 cm
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10 cm
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25 cm
Explanation
24 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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77.6
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58.2
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19.4
Explanation
19.4
By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:
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20 cm
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10 cm
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5 cm
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12 cm
Explanation
20 cm
A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:
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3 : 1
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1 : 3
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2 : 3
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1 : 1
Explanation
3 : 1
Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:
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3 cm
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6 cm
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12 cm
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8 cm
Explanation
6 cm
The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:
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100
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9
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75
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20
Explanation
75
The slant height of the frustum of a cone is 4cm and the perimeter of the circular ends are 18 cm and 6 cm , the curved surface area of the frustum is
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48 cm2
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40cm2
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44 cm2
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36 cm2
A ‘surahi’ is the combination of
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a sphere and a cylinder
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a hemisphere and a cylinder
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a cylinder and a cone.
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two hemispheres
The volume of the Sphere whose diameter is 14 cm is
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2417.3 cm3
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2437.3 cm3
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1437.3 cm3
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1037.3 cm3
If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
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$6 \pi r^2$
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$ \pi r^2$
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$3 \pi r^2$
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$4 \pi r^2$
A hemispherical bowl of internal radius 18 cm contains Coca Cola. This is to be filled in the cylinder bottle of radius 3 cm and height 6 cm and distributed to the people. How many bottles can be filled up
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60
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None of the above
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64
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72
Which of the following is incorrect for Frustum of height h and radii r and R
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Curved surface area of the frustum of the cone = $\pi (r +R )L$
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Total Surface Area= $\pi (r +R )L + \pi (R^2 - r^2)$
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Slant height = $\sqrt {h^2 + (R-r)^2}
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Volume of the frustum of the cone = $ \frac {1}{3} \pi h [ r^2 + R^2 + rR]$
A cone of height of 12 cm has a base radius of 5 cm, the lateral surface are in sq cm is
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$45 \pi$
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$15 \pi$
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$65 \pi $
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$24 \pi $
Volumes of two spheres are in the ratio 64:The ratio of their surface areas is
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3 : 4
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9 : 16
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16 : 9
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4 : 3
A cone, a hemisphere and a cylinder stand on equal based and have the same height. The volume of these are in the ratio
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4 : 8 : 11
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5 : 6 : 8
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2 :3 : 4
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1 : 2 :3
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