Page 1 - Worksheet-3 Ch-13-Surface Areas and Volumes [Cones]
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SAI International School
                                                     CLASS - IX

               Mathematics
               CHAPTER-13: SURFACE AREAS AND VOLUMES

                Worksheet -3 [CONE]
               1.    The diameter of the base of a cone is 10.5 cm, and its slant height is 10 cm. The  1
                     curved surface area is:

                     a. 150 cm        b. 165 cm         c. 177 cm         d. 180 cm
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               2.    If slant height of the cone is 21cm and the diameter of the base is 24 cm. The          1
                     total surface area of a cone is:
                     a. 1200.77 cm      b. 1177 cm       c. 1222.77cm        d. 1244.57 cm
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               3.    A solid cylinder of brass 8 m high and 4 m diameter is melted and recast into a         1
                     cone of diameter 3 m. Find the height of the cone.
               4.    Find the volume of a cone, the circumference of whose base is 132 cm and                1
                     whose height is 15.5 cm.
               5.    A right circular cone is 84 cm high and the radius of its base is 35 cm. Find the       1
                     volume of the cone.

               6.    The circumference of base and height of a cone are 132 cm and 15.5 cm                   1
                     respectively. The volume of the cone will be _______.

               7.    The radius of a cone is 7 cm and area of curved surface is 176 cm . The slant           1
                                                                                              2
                     height is ____.
               8.    A conical vessel whose internal radius is 5 cm and height 24 cm is full of water.       1
                     The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the
                     height to which water rises.
               9.    The radius of the base and the height of a right circular cone are 21 cm and 28         1
                     cm respectively. Find the volume of the cone.
               10.  The base radii of two right circular cones of the same height are in the ratio 3: 5.     1
                     Find the ratio of their volumes.

               11.  How much ice-cream can be put into a cone with base radius 3.5 cm and height             2
                     12 cm?
                                                           
               12.  Find the volume of cone of radius   and height ‘2h’.                                     2
                                                         2
               13.    A right circular cone is 84 cm high and the radius of its base is 35 cm. Find the      2
                      volume of the cone.

               14.  Find the capacity in litres of a conical vessel having height 8 cm and slant height  3
                     10 cm.
               15.  A heap of wheat is in the form of a cone whose diameter is 10.5 m and height             3


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