Question

a friction clutch is in the form of the frustum of a cone, the diameter of the ends being 8 cm and 10 cm and length 8 cm . then find its volume

Answer 1

volume of frustum of cone is 2300.5cm2

Answer 2

Answer:

Volume of frustum is 510.77 cubic centimeter.

Step-by-step explanation:

Given a friction clutch is in the form of the frustum of a cone, the diameter of the ends being 8 cm and 10 cm and length 8 cm. we have to find the volume of frustum.

Radius, r=$\frac{8}{2}=4cm$

Radius, R=$\frac{10}{2}=5cm$

$Volume=\frac{1}{3}\pi (R^2+Rr+r^2)=\frac{1}{3}\pi (5^2+5(4)+4^2)\\ \\ V=\frac{1}{3}\times3.14(25+20+16)8\\\\V=\frac{1}{3}\times3.14\times61\times8=510.77cm^3$

Hence, volume of frustum is 510.77 cubic centimeter.