Question

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

Answer 1

Answer:

ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ ⬇️

Step-by-step explanation:

ᴡᴇ ʜᴀᴠᴇ,

ʀᴀᴛɪᴏ ᴏғ ʀᴀᴅɪᴜs ᴏғ ᴛᴡᴏ ᴄʏʟɪɴᴅᴇʀ, ʀ1:ʀ2 = 2:3

ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇɪʀ ʜᴇɪɢʜᴛs, ʜ1:ʜ2 = 5:3

ʀ1/ʀ2 = 2/3 ʜ1/ʜ2 = 5/3

sᴏ, ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄʏʟɪɴᴅᴇʀ1 / ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄʏʟɪɴᴅᴇʀ2 = 2πʀ1ʜ1 / 2πʀ2ʜ2

= (2 × 22/7 × 2 × 5) / (2 × 22/7 × 3 × 3) = 10/9

∴ ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇɪʀ ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ɪs 10:9.