Question

A rectangular piece of paper with 88 cm long and 7 cm broad is rolled along its length to form a cylinder . Find the volume of the cylinder thus formed .

Answer 1

Step-by-step explanation:

volume of cylinder=πr^2h

as rectangle is rolled length is the height of cylinder=7

and breadth is the circumference

so 88=2πr

r=88/2π

so r=14

volume= πr^2h

=22/7 *14*14*7

=4312 cm cube

Answer 2

Lenght or Height=88cm

Breadth-7cm

Breadth will convert into Diameter after rolling

Diameter of cylinder=7cm

Radius=3.5cm

ꜰᴏʀᴍᴜʟᴀ ᴛᴏ ꜰɪɴᴅ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴄʏʟɪɴᴅᴇʀ=

$\pi {r}^{2} h$

Put values in the formula

ɴᴏᴛᴇ ᴛʜᴀᴛ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ

ɴᴏᴛᴇ ᴛʜᴀᴛ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ $\pi$

ɴᴏᴛᴇ ᴛʜᴀᴛ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ $\pi$ɪꜱ ɴᴏᴛ ɢɪᴠᴇɴ ꜱᴏ ᴡᴇ ᴡɪʟʟ ᴘᴜᴛ ɪᴛꜱ ᴠᴀʟᴜᴇ ᴀꜱ =

$\binom{22}{7}$

=

$\binom{22}{7} \times {3.5}^{2} \times 88$

=

$\binom{22}{7} \times 12.25 \times 88$

=

$22 \times 1.75 \times 88$

ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴄʏʟɪɴᴅᴇʀ=

3388 ᑕᑌᗷ Iᑕ ᑕᗰ

Thanks for your time