Question

A lamp shade is in form of a frustum of a cone , its upper and lower diameter are 10cm and 20cm respectively , its height is 12cm . Calculate the volume of the frustum

Answer 1

Answer:

V = 8796.45 $cm^3$

Step-by-step explanation:

Given data :

A lamp shade is in the form of a frustum of a cone.

The upper diameter of the cone, r = 10 cm

The lower diameter of the cone, R = 20 cm

The height of the frustum, h = 12 cm

Therefore, the volume of the frustum of cone is given by :

$V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)$

Putting the values, we get

$V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2]$

$V=4 \pi[400 + 200+100]$

$V=4 \pi[700]$

V = 8796.45 $cm^3$

Thus the volume of the frustum of cone is V = 8796.45 $cm^3$