If the volume , height and semi - vertical angle of a right circular cone be v,h and `alpha` respectively, then prove that `3v tan alpha=pi r^3`, where r= radius of base.

If the curved surface area , volume height and semi- vertical angle of a right circular cone be S,V ,h and alpha respectively , then prove that S=(pi h^2sina)/(cos^2a) and V=(1)/(3)pi h^3tan^3alpha .

If the base radius and height of a right circular cone are r and h respectively, then the volume of the cone is

If the height , curved surface area and volume of a right circular cone be h, c and v respectively , then that 3pi vh^3-c^2h^2+9v^2=0 .

If the base radius and height of a right circular cone are 2R and H respectively, then the area of total surface of the cone is

If the volume, base area and height of a right circular cone are V cu unit, A sq.unit ant H unit respectively, then find the value of (AH)/V .

The length of base diameter and height of a right circular cone are 16 cm and 17 cm respectively. Find the volume of the cone.

If the length of the radius of the base of a right circular cone be halved and its height be doubled, then the volume remains same.

The base diameter and height of a right circular cone arc 21 m and 14 m respectively. Calculate the volume of the cone.

If the vertical angle of a right circular cone be alpha and its radius of base be r unit, then the height of the cone will be ___________.

Write whether the following statements are true or false : (ii) The radius of base , height and slant height of a solid right circular cone are r unit h unit and l unit respectively . The base of the cone is joint along the base of solid right circular cylinder. If the radii of the bases and heights of the cylinder and of the cone be equal , then the total surface area of the joint solid object will be (pirl + 2pirh +2 pir^(2)) sq - unit