Question

a solid object in the shape of a double cone is traced by rotating a right angled triangle of smaller sides 12 cm and 5 cm about the hypotenuse of the triangle

Answer 1

Answer:

hypotenuse of the triangle=13

This will be the base of the cone of radius =13/2

We have to find the height of the cone

Height of the cone will be perpendicular distance from the 90 degree angle vertex to the hypotenuse = h

Area of the triangle=(1/2)×5×12=(1/2)×13×h

h=60/13

volume of the cone=(1/3)π(13/2)^2×60/13

=13×5=65 cm^3