Jo
– 1 aC)(1 – 16) + (1 – +1 = – 1 ra- * +) = 181a3
EXERCISE 5.3
1.
ers
4.
Find the volume of the so

Jo
– 1 aC)(1 – 16) + (1 – +1 = – 1 ra- * +) = 181a3
EXERCISE 5.3
1.
ers
4.
Find the volume of the solid generated by the revolution of r = 2a cos 0
about the initial line.
The arc of the cardioid r=a(1+cos e), specified by – 1/2 Sest/2, is
rotated about the line 0 = 0. Prove that the volume generated is Tea
Find the volume of the solid generated by the revolution of the cardioid
r= a(1 – cos e) about the initial line.
(1) Show that the volume of the solid formed by the revolution of the
curve r = a + b cos 0 a 2 b) about the initial line is rala? +6%).
[Avadh 1992; Meerut 2008]
(ii) Find the volume of the solid formed by the revolution of the curve
r=3+ 2 cos 0, about the initial line.
[Kanpur B.Sc. 2007)
The area of the inner loop of the curve r= 1 + 2 cos 0 is rotated through
two right-angles about the initial line. Show that the volume of the solid
so formed is /12.​