Question

The radii of two circular ends of a frustum shaped dust bin are 15cm and 8cm if its depth is 63 find the volume of the dust bin

Answer 1

hope this will help you

Answer 2

Answer: The volume of the dust bin is 26994 cube cm.

Step-by-step explanation:

Since, the volume of a frustum is,

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

Where, r is the radius of upper base ( smaller one )

R is the radius of lower base,

h is the height,

Here, r = 8 cm, R = 15 cm, h = 63 cm,

Hence, the volume of the given frustum,

$V=\frac{1}{3}\pi (63)(8^2+8\times 15+15^2)$

$=\frac{1}{3}\pi (63) (64+120+225)$

$=\frac{1}{3}\pi (63)(409)=8589\pi = 26994\text{ cube cm}$

Hence, The volume of the dust bin is 26994 cube cm.