Math, asked by kv2980803, 1 year ago

find the area of a tin sheet requieded to make a cylinder container with its lid if its radius of the base is 21cm and hight 28cm also find the volme od yhe container

Attachments:

Answers

Answered by Anonymous

$\huge\bigstar\huge\mathcal{\underline{ \underline{QUESTION}}}\red\bigstar$

Find the area of a tin sheet requieded to make a cylinder container with its lid if its radius of the base is 21cm and hight 28cm also find the volme od yhe container.

$<!DOCTYPE html><html> <head> <title>Title of the document</title> <style> #blink{ font-size: 30px; font-weight: bold; font-family: sans-serif; color:#CC0000 ; transition:0.4s; } </style> </head> <body> ........ Solution........ <script type="text/javascript"> var blink = document.getElementById('blink'); setInterval(function() { blink.style.opacity = (blink.style.opacity == 0 ? 1 : 0); }, 1000); </script> </body></html>$

$\boxed{}\\ \\$

given

height (h)of the cylinder=28 cm

radius (r)of base =21 cm

now to find ,

the area of a tin sheet requieded to make a cylinder container with its lid .

therefore we have to calculate its total surface area . i.e ,

A_{total}=A_{T.S.A}+A_{base}

$\implies A_{total}=A_{T.S.A}+A_{base} \\ \implies A_{total} = 2\pi rh + 2\pi r {}^{2} \\ \implies \boxed{A_{total} = 2\pi r(r + h)}$

therefore area of the total surface area

=2πr(r+h)

$= 2 \times \frac{22}{ \cancel 7} \times \cancel{21} \times (21 + 28) \: cm {}^{2} \\ =( 2 \times 22 \times 3 \times 49) \: cm {}^{2} \\ = \large\red{6468} \: cm {}^{2}$

therefore area of the tin sheet is 6468 cm²

now volume of the cylinder is

=(base area × height)

=πr²×h

$= \frac{22}{7} \times (21) {}^{2} \times 28 \: cm {}^{3} \\ = \frac{22}{ \cancel7} \times \cancel{21} \times 21 \times 28 \: cm {}^{3} \\ = 22 \times 3 \times 21 \times 28 \: cm {}^{3} \\ = \large\red{38808} \: cm {}^{3}$

$\large\mathfrak{...hope\: this \:helps\: you.....}$

#answerwithquality & #BAL

Answered by RvChaudharY50

129

$\begin{lgathered} \red{\bf{Given}}\begin{cases}\underline{\footnotesize\sf{\star\:\:Dimensions\:of \: cylinder}}\\\sf{radius(r)=21cm }\\\sf{Height(h)=28cm}\\ \sf{\footnotesize\bf{Find\:area\:of\:tinn\:sheet\:used\:and\:volume\:of\:container}}\end{cases}\end{lgathered}$

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

Area of tin sheet required is basically the curved surface area of cylinder + Area of both bases ,that means 2πrh + 2πr² or 2πr(h+r)
Volume of cylinder is = πr²h
Take π as = 22/7

________________________

$\underline {\underline{\LARGE{{\bf{\green{S}}}{\mathfrak{o}}{\mathfrak{\orange{l}}}{\mathfrak{\red{u}}}{\mathfrak{\pink{t}}}{\mathfrak{\purple{i}}}{\mathfrak{\blue{o}}}{\mathfrak{\red{n}}}}}} : \:$

Putting all values in Above formula now we get :----

Area of Tin sheet Required to make cylinder = 2πr(h+r)

putting values :-----

$\red\longrightarrow \: 2 \times \frac{22}{7} \times 21(21 + 28) \\ \\ \red\longrightarrow \: 2 \times 22 \times 3 \times 49 \\ \\ \red\longrightarrow \: \pink{\large\boxed{\boxed{\bold{6468 {cm}^{2} }}}} \:$

______________________________

Now putting again values in Volume formula = πr²h ,

we get :-------

$\red\leadsto \: \frac{22}{7} \times 21 \times 21 \times 28 \\ \\ \red\leadsto \: 22 \times 3 \times21 \times 28 \\ \\ \red\leadsto \: \bold{\boxed{\large{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:38808 {cm}^{3} }}}}}}}}}}$

___________________________

$\large\bold\star\underline\mathcal{Extra\:Brainly\:Knowledge:-}$

→ CSA(curved surface Area of cylinder = 2πrh

→ Volume of cone = 1/3 of Volume of cylinder

→ CSA of cone = πrl (where l = slant height)

→ slant height of cone = √(r²+h²)

→ TSA of cone = πrl + πr²

__________________________

$\large\underline\textbf{Hope it Helps You.}$

#BAL

Previous Question