EASY
Earn 100

The circumference of the base of a conical flask is 176 units. The slant height of the flask is 35 units. The volume of the flask is cubic units.

50% studentsanswered this correctly

Important Questions on Mensuration

EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x?
HARD
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
If the diameter of the base of a cone is 42 cm and curved surface area is 2310 cm2, what will be the volume (in cm3)?
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The volume of a solid right circular cone is 600π cm3, and the diameter of its base is 30 cm. The totalsurface area (in cm2) of the cone is _____.
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The height of a right circular cone is 5 cm and its base radius is 12 cm. What is the curved surface area of the cone?
HARD
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The circumference of the base of a conical tent is 66 m. If the height of the tent is 36 m, what is the area (in m2) of the canvas used in making the tent? (Take π=227)
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A conical vessel whose internal base radius is 18 cm and height 60 cm are full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with an internal radius of 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is _____.
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The height of a right circular cone is 35 cm and the area of its curved surface is four times the area of its base. What is the volume of the cone (in 10-3 m3 and correct up to three-decimal places)?
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A heap of rice in the form of a cone of base diameter 24 m and height 3.5 m. Find the volume of rice. How much canvas cloth is required to just cover the heap?
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The radius and the height of a right circular cone are in the ratio 5:12. Its curved surface area is 816.4 cm2. What is the volume (in cm3) of the cone? (take π=3.14)
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The area of the base of a right circular cone is 400π cm2 and its height is 15 cm. The curved surface area of the cone (in cm2) is: 
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The diameter of the base of a right circular cone is 10 cm and its height is 12 cm. What is the total surface area (in cm2) of the one?
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The number of solid cones with integer radius and integer height each having its volume numerically equal to its total surface area is
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
The height and radius of the right circular cone is 4 cm and 3 cm respectively. What is the total surface area of the cone?
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A right circular cone of the largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
If the radius of a right circular cone is decreased by 10% and its height is increased by 40%, then by what percent does its volume increase or decrease?
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A cone of base radius 4 cm is divided into two parts by drawing a plane through the mid-point of its height and parallel to its base. Compare the volume of the two parts. 
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
Two cones have their heights in the ratio of 1:3 and radii in the ratio 3:1. What is the ratio of their volumes?
EASY
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A bottle in the shape of a right-circular cone with height h contains some water. When its base is placed on a flat surface, the height of the vertex from the water level is a units. When it is kept upside down, the height of the base from the water level is a4 units. Then the ratio ha is
MEDIUM
Mathematics>Geometry>Mensuration>Surface Area and Volume of Solids
A sector of radius 10.5 cm with the central angle 120o, is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in cm3) of the cone so formed?