###### Advertisements

###### Advertisements

Find the volume of the right circular cone with radius 3.5 cm, height 12 cm

`["Assume "pi=22/7]`

###### Advertisements

#### Solution

Radius (*r*) of cone = 3.5 cm

Height (*h*) of cone = 12 cm

`"Volume of cone "=1/3pir^2h`

`=[1/3xx22/7xx(3.5)^2xx12]cm^3`

`=(1/3xx22xx1/2xx3.5xx12)cm^3`

= 154 cm^{3}

Therefore, the volume of the cone is 154 cm^{3}.

#### APPEARS IN

#### RELATED QUESTIONS

Find the capacity in litres of a conical vessel with height 12 cm, slant height 13 cm

`["Assume "pi=22/7]`

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

The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find its diameter of its base.

Mark the correct alternative in each of the following:

The number of surfaces of a cone has, is

A solid cylinder is melted and cast into a cone of same radius. The heights of the cone and cylinder are in the ratio

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is

The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former. The ratio of their radii is

If the base radius and the height of a right circular cone are increased by 20%, then the percentage increase in volume is approximately

If h, S and V denote respectively the height, curved surface area and volume of a right circular cone, then `3 pi Vh^3 - S^2h^2 + 9V^2` is equal to

Find the volume of a cone, if its total surface area is 7128 sq.cm and radius of base is 28 cm. `(π = 22/7)`

In a field, dry fodder for the cattle is heaped in a conical shape. The height of the cone is 2.1m. and diameter of base is 7.2 m. Find the volume of the fodder. if it is to be covered by polythin in rainy season then how much minimum polythin sheet is needed ?

`( π = 22/7 )` and `sqrt 17.37 = 4.17`

The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

If the radius of the base of a cone is tripled and the height is doubled then the volume is

A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.