12. A cylinder and a cone have base radii 5 cm and 3 cm, respectively,

1.	12. A cylinder and a cone have base radii 5 cm and 3 cm, respectively, and their respectiveheights are 4 cm and 8 cm. Find the ratio of their volumes.
Answer» 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

12. A cylinder and a cone have base radii 5 cm and 3 cm, respectively, and their respectiveheights are 4 cm and 8 cm. Find the ratio of their volumes.

Answer»

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