Question

Through a cylindrical pipe of internal radius of 7 cm, water flows at the rate of 5 cm per second. Find the volume(in litres) is discharged through the pipe in half hour​

Answer 1

★ $\colorbox{lime}{Given :-}$

ᴛʜʀᴏᴜɢʜ ᴀ ᴄʏʟɪɴᴅʀɪᴄᴀʟ ᴘɪᴘᴇ ᴏғ ɪɴᴛᴇʀɴᴀʟ ʀᴀᴅɪᴜs ᴏғ 7 ᴄᴍ, ᴡᴀᴛᴇʀ ғʟᴏᴡs ᴀᴛ ᴛʜᴇ ʀᴀᴛᴇ ᴏғ 5 ᴄᴍ ᴘᴇʀ sᴇᴄᴏɴᴅ.

★ $\colorbox{lime}{To\:find :-}$

ғɪɴᴅ ᴛʜᴇ ᴠᴏʟᴜᴍᴇ(ɪɴ ʟɪᴛʀᴇs) ɪs ᴅɪsᴄʜᴀʀɢᴇ ᴛʜʀᴏᴜɢʜ ᴛʜᴇ ᴘɪᴘᴇ ɪɴ ʜᴀʟғ ʜᴏᴜʀ .

★ $\colorbox{lime}{Solution :-}$

We have,

ʀ=7 ᴄᴍ

ᴡᴀᴛᴇʀ ғʟᴏᴡs ʀᴀᴛᴇ =5 ᴄᴍ/sᴇᴄ

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴄʏʟɪɴᴅᴇʀ

= πʀ²ʜ

sᴏ, ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴡᴀᴛᴇʀ ᴅɪsᴄʜᴀʀɢᴇᴅ ᴛʜʀᴏᴜɢʜ ᴘɪᴘᴇ ɪɴ 30 ᴍɪɴ

$\: \: \: \: \: \: \: \: \: \: \: \sf{↦ \: \frac{22}{7} \times {7}^{2} \times 5 \times (30 \: min)}$

$\: \: \: \: \: \: \: \: \: \: \: \sf{↦ \: 22 \times 7 \times 5 \times (30 \times 60 \: sec)}$

$\: \: \: \: \: \: \: \: \: \: \: \sf{↦22 \times 7 \times 5 \times (30 \times 60 \: sec)}$

$\: \: \: \: \: \: \: \: \: \: \: \sf{↦13836000 {cm}^{2}}$

↦ 1380 Litre = 1000 cm²

= 1 Litre

★ $\colorbox{pink}{Hence , \: This \: is \: the \: \: Answer}$★

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Answer 2

Answer:

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8