A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
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Answered by
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Answer:
Here, Area of river = depth × width
= 3×40=120m²
amount of water that falls into the sea ⇒ area of river × flow rate
⇒120m² × 2 km/hr
⇒120× 2×1000m³/(60mins)
⇒4000 m³/mins
∴4000m³of water falls into the sea permin
Answered by
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ɢɪᴠᴇɴ :
ᴀ river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour.
To find out :
ʜᴏᴡ ᴍᴜᴄʜ ᴡᴀᴛᴇʀ ᴡɪʟʟ ғᴀʟʟ ɪɴᴛᴏ ᴛʜᴇ sᴇᴀ ɪɴ ᴀ ᴍɪɴᴜᴛᴇ?
♛ Sσℓυтiση :
- Water flowing in river in 1 hour = 2 km
- Water flowing in river in 1 hour = 2000 m
- Water flowing in river in 60 mins = 2000m
- Water flowing in river in 1 min = 2000/60 m = 100/3 m
NOW,
River is in shape of cuboid
ʟᴇɴɢᴛʜ : 100/3 m
ʙʀᴇᴀᴅᴛʜ : 40 m
ʜᴇɪɢʜᴛ : 3 m
_____________________________
❥ᴠᴏʟᴜᴍᴇ ᴏғ ᴡᴀᴛᴇʀ ғᴀʟʟɪɴɢ ɪɴ ᴛʜᴇ sᴇᴀ ɪɴ ᴏɴᴇ ᴍɪɴᴜᴛᴇ = ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴄᴜʙᴏɪᴅ
= ʟᴇɴɢᴛʜ × ʙʀᴇᴀᴅᴛʜ × ʜᴇɪɢʜᴛ
= ( 100/3 × 40 × 3 ) m³
= (100 × 40 × 1 ) m³
= 4000 m³
• Therefore,
4000 m³ ᴏғ ᴡᴀᴛᴇʀ ᴡɪʟʟ ғᴀʟʟ ɪɴᴛᴏ ᴛʜᴇ sᴇᴀ ɪɴ ᴀ ᴍɪɴᴜᴛᴇ.
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