Question

a right circular cylinder and a cone have equal base and equal height if their csa are in the ratio 8 ratio 5 show that the ratio between radius of their bases to their height is 3ratio 4

Answer 1

Radius of cone = radius of cylinder = r

Height of cone = height of cylinder = h

curved surface area of cylindercurved sufrace area of conecurved surface area of cylindercurved sufrace area of cone

=2πrhπrl=2πrhπrl=85=2πrhπrl=2πrhπrl=85

⇒hl=45⇒hl=45

⇒l2=(h)2+(r)2−−−−−−−−−√⇒l2=(h)2+(r)2

⇒h2=16,I2=25⇒h2=16,I2=25
be brainly

r=3r=3

Radius  :  HeightRadius  :  Height

3  :  4