Question

Water flows at the rate of 10 metres per minute through a cylindrical
pipe 5 mm in diameter. How long would it take to fill a conical vessel
whose diameter at the surface is 40 cm and depth 24 cm?​

Answer 1

ᴀɴsᴡᴇʀ:

• 51 ᴍɪɴ. 12 sᴇᴄ

sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:

ᴠᴏʟᴜᴍᴇ ғʟᴏᴡɴ = 1/3 ᴘɪ (20)^2 * 24 = 3200 ᴘɪ

ᴠᴏʟᴜᴍᴇ ғʟᴏᴡɴ ɪɴ 1 ᴍɪɴ = (ᴘɪ* 2.5/10 * 2.5/10 * 1000) = 62.5 ᴘɪ

ᴛʜᴇʀᴇғᴏʀᴇ ᴛɪᴍᴇ ᴛᴀᴋᴇɴ = 3200 ᴘɪ / 62.5 ᴘɪ = 51 ᴍɪɴ. 12 sᴇᴄ.