Home
Class 14
MATHS
A building is in the form of a cylinder ...

A building is in the form of a cylinder surmounted by a hemispherical dome on the diameter of the cylinder. The height of the building is three times the radius of the base of the cylinder. The building contains `67 (1/21) m^(3)` of air. What is the height of the building ?

A

6 m

B

4 m

C

3 m

D

2 m

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The height of a building is 12m. Express its height in feet.

The total surface area of a cylinder is 1540 cm^(2) . The height of cylinder is 4 times the radius of the base. Find the height of the cylinder.

A solid is in the form of a cylinder with hemispherical ends. Total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid.

A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base of the cylinder is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic metres ?

From a tower 18 m high the angle of elevation of the top of a tall building is 45^(@) and the angle of depression of the bottom of the same building is 60^(@) . What is the height of the building in metres?

A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24m. The height of the cylindrical portion is 11m, while the vertex of the cone is 16m above the ground.Find the area of the convas required for tent:

A bulinding is in the form of a cylinder surmounted by a hemispherical valuted dome and contains 41(19)/(21)m^(3) of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the bulinding ?

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, then what is the height of the cone?

The ratio between the radius of the base and the height of a cylinder is 2 : 3. If the volume of the cylinder is 12936 cm^(3) , find the radius of the base of the cylinder.