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?
Answers
Answer:
The ratio of the curved surface areas is 2 : 5 .
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 = RH/rh
S1/S2 = (R/r) × (H/h)
S1/S2 = ⅗ × ⅔
S1/S2 = ⅖
S1 : S2 = 2 : 5
Hence, the ratio of the curved surface areas is 2 : 5 .
HOPE THIS ANSWER WILL HELP YOU…
Answer: 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.