Question

A cylindrical water reservoir for a village is to be built. Its radius and height are 3.5 m and 4.5 m respectively. What will be its storage capacity in litres ?

Answer 1

$\huge\mathcal{\mid{\mid{\underline{\pink{Good\:Morning\:}}}{\mid{\mid}}}}$

Qᴜᴇsᴛɪᴏɴ ;-

✔️ A cylindrical water reservoir for a village is to be built. Its radius and height are 3.5 m and 4.5 m respectively. What will be its storage capacity in litres ?

$\huge{\orange{\boxed{\fcolorbox{lime}{indigo}{\color{aqua}ANSWER}}}}$

$\bf\orange{GIVEN}$

• A cylindrical water reservoir for a village is to be built.

☘️ Rᴀᴅɪᴜs ᴏғ ᴛʜᴇ ᴄʏʟɪɴᴅʀɪᴄᴀʟ ᴡᴀᴛᴇʀ ʀᴇsᴇʀᴠᴏɪʀ ɪs 3.5 m.

☘️ Hᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴄʏʟɪɴᴅʀɪᴄᴀʟ ᴡᴀᴛᴇʀ ʀᴇsᴇʀᴠᴏɪʀ ɪs 4.5 m.

$\bf\pink{We~know~that,}$

• Storage capacity means Volume .

$\red\bigstar\:\bf\blue{Volume\:=\:\pi\:r^2\:h\:}$

• π = 22/7

• r = 3.5 m

• h = 4.5 m

$\longmapsto\:\rm{Volume\:=\:\dfrac{22}{7}\times{(3.5)^2}\times{4.5}\:}$

$\longmapsto\:\rm{Volume\:=\:\dfrac{22}{7}\times{3.5}\times{3.5}\times{4.5}\:}$

$\longmapsto\:\rm{Volume\:=\:22\times{0.5}\times{3.5}\times{4.5}\:}$

$\longmapsto\:\rm\red{Volume\:=\:173.25\:m^3\:}$

• 1 m³ = 1000 L

$\longmapsto\:\rm{Volume\:=\:(173.25\times{1000})\:L\:}$

$\longmapsto\:\rm\green{Volume\:=\:173250\:L\:}$

Answer 2

Answer:

173L 25ml

Step-by-step explanation:

Given ↴

• radius ➪ 3.5 m
• height ➪ 4.5 m

Volume ↴ ( πr²h )

$➪\pi \: {r}^{2} h$

$➪\frac{22}{7} \times {3.5}^{2} \times 4.5$

$➪ \frac{22}{7} \times 12.25 \times 4.5$

$➪ \frac{22}{7} \times 55.125$

$➪173.25$

Storage capacity ➪ 173L 25ml