A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respec- tively is melted and recast into the form a cone of base diameter 8cm. The height of the cone is
(A) 12cm (B) 14cm (C) 15cm (D) 18cm
A hollow cube of internal edge 22cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 1/8 space of the cube remains unfilled. Then the number of marbles that the cube can accomodate is
(A) 142296 (B) 142396 (C) 142496 (D) 142596
A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called
(A) a frustum of a cone (B) cone (C) cylinder (D) sphere
A shuttle cock used for playing badminton has the shape of the combination of
(A) a cylinder and a sphere (B) a cylinder and a hemisphere(C) a sphere and a cone (D) frustum of a cone and a hemisphere
The shape of a gilli, in the gilli-danda game (see Figure), is a combination of
(A) two cylinders (B) a cone and a cylinder(C) two cones and a cylinder (D) two cylinders and a cone
A 400 kg satellite is in a circular orbit of radius 2RE about the Earth. How much
energy is required to transfer it to a circular orbit of radius 4RE ? What are the changes in the kinetic and potential energies ?
The shape of a glass (tumbler) (see Figure) is usually in the form of
(A) a cone (B) frustum of a cone (C) a cylinder (D) a sphere
A plumbline (sahul) is the combination of (see Figure)
(A) a cone and a cylinder (B) a hemisphere and a cone (C) frustum of a cone and a cylinder (D) sphere and cylinder
Express the constant k of Eq.(7.38) in days and kilometres. Given k = 10–13 s²m–3. The moon is at a distance of 3.84 × 10⁵ km from the earth. Obtain its time-period of revolution in days.
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