Question

Q.14 The radii of two cylinders are in
the ratio 2: 3 and their heights are in
the ratio 5:3. The ratio of their
curved surface area is
*
27​

Answer 1

Let radius of first Cylinder = 2x

Let radius of second cylinder = 3x

Let height of first cylinder = 5y

Let height of second cylinder = 3y

Thus,

Curved Area of first cylinder = 2π(r1)(h1)

S1 = 2π(2x)(5y)

C. Area of second cylinder = 2π(r2)(h2)

S2 = 2π(3x)(3y)

Thereby, Ratio of their Curved Area:

S1/S2 = [2π(2x)(5y)]/[2π(3x)(3y)]

= (2×5)/(3×3)

= 10/9

= 10:9

Hence, the required ratio is 10:9