The radii of two cylinders are in the ratio 3 : 5 and their heights are in the ratio 2 : 3. what is the ratio of their curved surface areas?

Step-by-step explanation:

SOLUTION :

Given:

Let the radius of the base of two cylinders be R & r.

Let the Height of the base of two cylinders be H & h.

Ratio of radius of the base of two cylinders = R : r = 3 : 5 i.e R/r = 3/5

Ratio of Height of the base of two cylinders = H : h = 2 : 3 i.e H/h = ⅔

Curved surface area of first cylinder, S1/ Curved surface area of second cylinder ,S2 = 2πRH/2πrh

S1/S2 = (R/r) × (H/h)

S1/S2 = ⅗ × ⅔  

S1/S2 = ⅖  

S1 : S2 = 2 : 5  

HOPE THIS ANSWER WILL HELP YOU…

2 : 5

Step by step explanation:

Given :

The radii of two cylinder are in the ratio of 3 : 5 and their height are in the ratio of 2 : 3

To find : ratio of their curved surface area

We know that,

Curved surface area of cylinder = 2πrh

(2 × 22/7 × 3 × 2)/(2 × 22/7 × 5 × 3)

= (3 × 2)/(5 × 3)

= 2/5

= 2 : 5

Hence,

The ratio of their curved surface area = 2 : 5.

CSA of 1st cylinder= 2πrh

= 2π×3×2

CSA of 2nd cylinder= 2πrh

= 2π×5×3

CSA of 1st cylinder/CSA of 2nd cylinder

= 2π×3×2/2π×5×3

=6/15 or 2/5

=2:5

Ratio of CSA of both cylinders=2:5

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HEY MATE HERE IS YOUR ANSWER

(D) 3:5 ✔✔

hope it helps you .......

.

Among the given options option (a) 2 : 5  is the correct answer.

Step-by-step explanation:

Given:

Let the radius of the base of two cylinders be R & r.

Let the Height of the base of two cylinders be H & h.

Ratio of radius of the base of two cylinders =  R : r = 3 : 5 i.e R/r = 3/5

Ratio of Height of the base of two cylinders = H : h = 2 : 3 i.e H/h = ⅔

S1/S2 = RH/rh

S1/S2 = (R/r) × (H/h)

S1/S2 = ⅗ × ⅔  

S1/S2 = ⅖  

S1 : S2 = 2 : 5  

HOPE THIS ANSWER WILL HELP YOU…

answer:

(2x - 5) (2x² - 3x + 1)

hence 2 is the coefficient pf x².