If V be the volume, R be the radius of the base and H be the height of a right circular cone, then H = ____.

If x be the volume, y be the area of the base and z be the height of a cone then the value of x / yz is 3.

State True or False: The height, radius, and slant height of a right circular cone are always the three sides of a right-angled triangle.

If the volume of a right circular cone is V cubic unit, the base area is A sq. unit and the height is H unit, then find the value of

Find the total surface area of a cone whose diameter of the base is 20 cm and slant height is 25 cm.

Curved surface area of a right circular cone is 154√2 sq cm and radius of the base 7 cm. Find its vertical angle.

The height of a right circular cone is twice the radius of the base. If the height were seven times the diameter of the base then the volume of the cone would have been 539 cu cm more. Find the height of the cone.

In a right circular conical tent, 11 persons can stay. For each person, 4 sq. m space in the base and 20 cu.m. air are necessary. Determine the height of the tent put up exactly for 11 persons.

If A = , then A² is equal to: (a) (b) (c) (d)

Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF. Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect. (a) Both statements are true. (b) Both statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.

(x + 3), 1, (3x − 7) and −5 are in proportion. The value of x is : (a) −1 (b) 1 (c) −5 (d) 5

If A = and B = , then the order of AB is: (a) 2 × 2 (b) 2 × 1 (c) 1 × 2 (d) AB is not possible