Question

A cylinder and a cone have base radii 5cm and 3cm,respectively,and irrespective heights 4cm and 8cm.Find ratio of their volumes.
(class 10 CBSE SAMPLE PAPER 2017-18 MATHS)

Answer 1

Let the radius of Cylinder be r1 and height be h1 and the radius of cone be r2 and height of the cone be h2.


Given =


r1= 5 cm, h1= 4 cm


r2=3 cm , h2= 8 cm


Volume of Cylinder (V1)= πr1²h1


Volume of cone (V2) = 1/3πr2²h2


Volume of Cylinder(V1) : volume of cone(V2)


πr1²h1 : 1/3πr2²h2

(5)²× 4 × 3 :  (3)²× 8


25 ×12 : 9 ×8


25 × 12 : 72


25 : 6


Volume of Cylinder(V1) : volume of cone(V2)= 25:6


V1: V2 = 25:6


Hence, the ratio of volume of cylinder and volume of cone is 25:6


Hope this will help you....

Answer 2

Here is your answer.