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Mathematics
List of top Mathematics Questions on Volume of a Right Circular Cone
A solid hemisphere of radius
24
c
m
24 cm
24
c
m
is melted and identical cones each of base radius
8
c
m
8 cm
8
c
m
and height
6
c
m
6 cm
6
c
m
are formed. How many such cones are formed?
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
A metallic sphere of radius 8 cm is melted to form a cone with radius same as that of sphere. What is the height of the cone (in cm) ?
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
The heights of two right circular cones are in the ratio
1
:
2
1 : 2
1
:
2
and the circumferences of their bases are in the ratio
3
:
4.
3: 4.
3
:
4.
Find the ratio of their volumes.
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
A cone of height at 24 cm and base radius 6 cm is made of modelling clay. A child reshapes it in the form of a sphere. The radius of the sphere is:
CUET (PG) - 2023
CUET (PG)
Mathematics
Volume of a Right Circular Cone
The maximum volume of the right circular cone with slant height 6 units is
KCET
Mathematics
Volume of a Right Circular Cone
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.
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
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.
CBSE Class IX
Mathematics
Volume of a Right Circular 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.
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
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
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kiloliters?
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
The height of a cone is 15 cm. If its volume is 1570 cm
3
, find the diameter of its base. [Use
π
\pi
π
= 3.14]
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
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
CBSE Class IX
Mathematics
Volume of a Right Circular Cone
Find the volume of the right circular cone with
(i)
radius 6 cm, height 7 cm
(ii)
radius 3.5 cm, height 12 cm
CBSE Class IX
Mathematics
Volume of a Right Circular Cone