A swimming pool of length = 25 m,breadth = 15 mand height =2 m is fourths full of water .Find the volume of water in the pool.
Answers
Answer:
ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴡᴀᴛᴇʀ ɪɴ ᴛʜᴇ ᴘᴏᴏʟ
ᴀɴꜱᴡᴇʀ: Volume of water in swimming pool is 562.5 m³.
ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:
ɢɪᴠᴇɴ ᴛʜᴀᴛ
ʟᴇɴɢᴛʜ ᴏꜰ ᴀ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ = 25 ᴍᴇᴛᴇʀ
ʙʀᴇᴀᴅᴛʜ ᴏꜰ ᴀ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ = 15 ᴍᴇᴛᴇʀ
ʜᴇɪɢʜᴛ ᴏꜰ ᴀ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ = 2 ᴍᴇᴛᴇʀꜱ
ᴀɴᴅ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ ɪꜱ ꜰɪʟʟᴇᴅ 3/4 ᴛʜ ʙʏ ᴡᴀᴛᴇʀ .
ɴᴇᴇᴅ ᴛᴏ ᴅᴇᴛᴇʀᴍɪɴᴇ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴡᴀᴛᴇʀ ɪɴ ᴛʜᴇ ᴘᴏᴏʟ.
ᴀꜱ ᴡᴇ ʜᴀᴠᴇ ᴅɪᴍᴇɴꜱɪᴏɴꜱ ᴏꜰ ᴛʜᴇ ᴘᴏᴏʟ , ʟᴛꜱ ꜰɪʀꜱᴛ ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴛʜᴇ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ
ɢᴇɴᴇʀɪᴄ ꜱʜᴀᴘᴇ ᴏꜰ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ ɪꜱ ᴄᴜʙᴏɪᴅ
ꜰᴏʀᴍᴜʟᴀ ꜰᴏʀ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴄᴜʙᴏɪᴅ = ʟᴇɴɢᴛʜ x ʙʀᴇᴀᴅᴛʜ x ʜᴇɪɢʜᴛ
ꜱᴏ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴄᴜʙᴏɪᴅ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ = 25ᴍ x 15ᴍ x 2ᴍ = 750ᴍ³
ᴀꜱ ᴡᴀᴛᴇʀ ɪꜱ ꜰɪʟʟɪɴɢ 3/4ᴛʜ ᴏꜰ ᴛʜᴇ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ
ꜱᴏ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴡᴀᴛᴇʀ = (3/4) x ᴠᴏʟᴜᴍᴇ ᴏꜰ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ
=> ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴡᴀᴛᴇʀ = (3/4) x 750ᴍ³ = 562.5ᴍ³
ʜᴇɴᴄᴇ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴡᴀᴛᴇʀ ɪɴ ꜱᴡɪᴍᴍɪɴɢ ᴘᴏᴏʟ ɪꜱ 562.5 ᴍ³.
Explanation:
GIVEN THAT
LENGTH OF A SWIMMING POOL = 25 METER
BREADTH OF A SWIMMING POOL = 15 METER
HEIGHT OF A SWIMMING POOL = 2 METERS
AND SWIMMING POOL IS FILLED 3/4 TH BY WATER
NEED TO DETERMINE VOLUME OF WATER IN THE POOL.
AS WE HAVE DIMENSIONS OF THE POOL, LTS FIRST CALCULATE VOLUME OF THE SWIMMING POOL GENERIC SHAPE OF SWIMMING POOL IS CUBOID
FORMULA FOR VOLUME OF CUBOID = LENGTH X BREADTH X HEIGHT
SO VOLUME OF CUBOID SWIMMING POOL = 15M X 2M = 750M³ : 25M X
AS WATER IS FILLING 3/4TH OF THE SWIMMING POOL
SO VOLUME OF WATER = (3/4) X VOLUME OF SWIMMING POOL
=> VOLUME OF WATER = (3/4) x 750M³ = 562.5M³
HENCE VOLUME OF WATER IN SWIMMING POOL IS 562.5 M³.