Question

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are16cm and 12 cm. Find the capacity of the glass. (use pi = 22/7)

Answer 1

given the diameter of a circular ends are 16 cm and 12 centimetre.

height of the frustum of a cone is 14 centimetre.

therefore radius of the circular in R1 =16/2 cm

=8cm.

the radius of other circle and R2= 12 / 2 cm

=6cm

capacity of Glass = volume of frustum of the cone .

1/3

$1 \div 3\pi(r1^{2} + r1r2 + r2^{2})h </p><p>$

=1/3×22/7 (8^2+8×6+6^2)×14cm^3

=1/3×22(64+48+36)×2cm^3

=44×148/3cm^3

=2170.66cm^3.

Hope it will help you.

Thank you.