Question

a right circular cylinder and a cone has equal bases and height . if their ratio is 8:5 then find the ratio between their radius and height

Answer 1

Answer:

Step-by-step explanation:

right circular cylinder and a cone have equal base radius and equal height. If their curved surfaces are in the ratio 8 : 5, then the radius of the base to the height are in the ratio :

A) 2 : 3

 B) 4 : 3

C) 3 : 4

 D) 3 : 2

Correct Answer:

C) 3 : 4

Description for Correct answer:

Radius of cone = radius of cylinder = r

Height of cone = height of cylinder = h

curved surface area of cylindercurved sufrace area of cone

=2πrhπrl=2πrhπrl=85

⇒hl=45

⇒l2=(h)2+(r)2−−−−−−−−−√

⇒h2=16,I2=25

r=3

Radius  :  Height

3  :  4