Question

We have studied about geometrical figures which

are in a plane such as a triangle, a quadrilateral, a

circle etc. and geometrical figures (solids) which

are not in a plane but are in space such as a cube,

a cuboid, a cylinder, a cone, a sphere, a

hemisphere etc. Figures in a plane usually have

length and breadth and those which occupy space

have length, breadth and height or depth.

In other words, the plane figures are called two-dimensional (2-D) figures and

the solid shapes are called three-dimensional (3-D) figures. Plane figures can be

drawn on a plane surface like paper, blackboard, wall etc. while the solid shapes

cannot be drawn on a plane surface.

The area of the surface of a solid is called the surface area of the solid while the

space occupied by a solid or the capacity of the solid is called the volume of the

solid.

Based on the above data, answer the following questions:

(i) The diameter and height of a right circular cone are 7 cm and 12 cm respectively.

The volume of the cone (in cm3)

is :

(A) 88 (B) 112 (C) 154 (D) 616

(ii) The lateral surface area of a cube is 256 m2

. The volume of the cube is :

(A) 256 m3

(B) 64 m3

(C) 216 m3

(D) 256 m3

(iii) The length of the longest pole that can be put in a room of dimensions

10 m x 10 m x 5 m is :

(A) 15 m
(B) 16 m
(C) 10 m
(D) 12 m

(iv) The height of a right circular cylinder with lateral surface area 792 cm2

, is 21

cm. The diameter of the base of the cylinder is :

(A) 12 cm
(B) 6 cm
(C) 24 cm
(D) 18 cm​

Answer 1

Answer:

1- option C(volume of cone 1÷3 pie r^2h)

2- ans is 512m^3

3- option A

4- option A(LSA of cylinder - 2pie rh

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