Q. 13.7( 9 Votes )

# A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameter of its two circular ends are 16 cm and 12 cm. Find the capacity of the glass.

Answer :

Given: Height of glass = h = 14 cm

Diameter of lower circular end of glass = 12 cm

Diameter of upper circular end of glass = 16 cm

∴ Radius of lower circular end = r = 12/2 = 6 cm

∴ Radius of lower circular end = R = 16/2 = 8 cm

= 44 × 49.33 cm^{3}

2170.52 cm^{3}

∴ Capacity of glass = 2170.52 cm^{3}

Rate this question :

The radii of the circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and the volume of the frustum.

RD Sharma - MathematicsIf the radii of the circular ends of a conical bucket 45 cm high are 5 cm and 15 cm respectively, find the surface area of the bucket.

RD Sharma - MathematicsThe slant height of the frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface of the frustum.

RD Sharma - Mathematics