Question

The ratio of the volumes of two cylinders is 3:4 and that of their heights is 1: 3 find the ratio of their curved surfaces

Answer 1

Ratio of volume of two cylinders is

V1/V2 = 3/4

Ratio of height of two cylinders is

H1/H2 = 1/3

V1/V2 = 3/4

pie R1^H/pie R2^2 H2 = 3/4

R1^2×1/R2^2×3 = 3/4

R1^2/R2^2 = 9/4

R1/R2 = 3/2

C1/C2 = 2pieR1H1/2pieR2H2

C1/C2 = R1×H1/R2×H2

C1/C2 = 3/2×1/3

C1/C2 = 1/2

C1 : C2 = 1 : 2