List of top Mathematics Questions on Volume of a Right Circular Cone

Match List-I with List-II:
A solid hemisphere of radius \(24 cm\) is melted and identical cones each of base radius\( 8 cm\) and height \( 6 cm \) are formed. How many such cones are formed?
Find the volume of the right circular cone with
(i) radius 6 cm, height 7 cm 
(ii) radius 3.5 cm, height 12 cm
Find the capacity in liters of a conical vessel with
(i) radius 7 cm, slant height 25 cm
(ii) height 12 cm, slant height 13 cm
The height of a cone is 15 cm. If its volume is 1570 cm3, find the diameter of its base. [Use \(\pi\) = 3.14]
If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kiloliters?
The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find. 
(i) height of the cone 
(ii) slant height of the cone 
(iii) curved surface area of the cone
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.