Write ‘True’ or ‘False’ and justify your answer.
Total surface area of a lattu (top) as shown in the Figure is the sum of total surface area of hemisphere and the total surface area of cone.
Write ‘True’ or ‘False’ and justify your answer.
Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 12a2.
Write ‘True’ or ‘False’ and justify your answer.
A spherical steel ball is melted to make eight new identical balls. Then, the radius of each new ball be 1/8 th the radius of the original ball.
Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is
(A) 3 : 4 (B) 4 : 3 (C) 9 : 16 (D) 16 : 9
In a right circular cone, the cross-section made by a plane parallel to the base is a
(A) circle (B) frustum of a cone (C) sphere (D) hemisphere
The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is
(A) 32.7 litres (B) 33.7 litres (C) 34.7 litres (D) 31.7 litres
During conversion of a solid from one shape to another, the volume of the new shape will
(A) increase (B) decrease (C) remain unaltered (D) be doubled
A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter
(A) r cm (B) 2r cm (C) h cm (D) 2h cm
If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
(A) 4πr2 (B) 6πr2 (C) 3πr2 (D) 8πr2
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