# Topic: Chapter 7: Mensuration (Test 2)

Topic: Chapter 7: Mensuration
Q.1
A shuttle cock used for playing badminton has the shape of the combination of
A. a cylinder and a sphere
B. a hemisphere and a cone
C. a sphere and a cone
D. frustum of a cone and a hemisphere
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Q.2
A spherical ball of radius r1 units is melted to make 8 new identical balls each of radius r2 units. Then r1 : r2 is
A. 2:1
B. 1:2
C. 4:1
D. 1:4
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Q.3
The volume (in cm3) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
A. 4/3 π
B. 10/3 π
C. 5 π
D. 20/3 π
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Q.4
The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2  units. If h2  : h1  = 1 : 2 then r2  : r1  is
A. 1 : 3
B. 1 : 2
C. 2 : 1
D. 3 : 1
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Q.5
The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is
A. 1:2:3
B. 2:1:3
C. 1:3:2
D. 3:1:2 