A Right circular cylinder
has base nadius 14cm
and height 21cm.
Find
1.Area of bases
2. curved surface area
3.Total surface area
4. volume of cylinder
Plz give the answer fast it's important now plz plz plz
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A Right circular cylinder
has base nadius 14cm
and height 21cm.
Find
1.Area of bases
2. curved surface area
3.Total surface area
4. volume of cylinder
Plz give the answer fast it's important now plz plz plz
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Answer:
Given :
Radius = 14 cm
Height = 21 cm
1. Area of base:
[tex] = \pi \: {r}^{2} [/tex]
[tex] = \frac{22}{7} \times 14 \times 14[/tex]
cancel 14 and 7
[tex] = 22 \times 2 \times 14[/tex]
[tex] = 616[/tex]
2. Curved surface area :
[tex] = 2\pi \: r \: h \: [/tex]
[tex] = 2 \times \frac{22}{7} \times 14 \times 21[/tex]
cancel 7 and 14
[tex] = 2 \times 22 \times 2 \times 21[/tex]
[tex] = 1848[/tex]
3. Total surface area :
[tex]2\pi \: r \: \:( r \: + h)[/tex]
[tex] = 2 \times \frac{22}{7} \times 14(14 + 21)[/tex]
cancel 7 and 14 we get
[tex] = 2 \times 22 \times 2(14 + 21)[/tex]
[tex] = 88(35)[/tex]
[tex] = 3080[/tex]
3. Volume :
[tex] = \pi \: {r}^{2} h[/tex]
[tex] = \frac{22}{7} \times {14}^{2} \times 21[/tex]
cancelling 7 and 21
[tex] = 22 \times 196 \times 3[/tex]
[tex] = 12936[/tex]
❥[tex]{\underline{\underline{\large{\mathtt{ANSWER:-}}}}}[/tex]
1. Area of the base is 616 cm².
2. Curved surface area is 1848 cm².
3. Total surface area is 3080 cm².
4. Volume of cylinder is 12,936 cm³.
❥[tex]{\underline{\underline{\large{\mathtt{EXPLANATION:-}}}}}[/tex]
•Given:-
•To find :-
•Solution:-
Radius(r) = 14 cm.
Height(h) = 21 cm.
_____________________________________________
We know,
[tex]\large{\boxed{\sf{\green{Area\:of\:base\:=\:\pi\:r^2}}}}[/tex]
1. Area of base = πr²
=[tex]{\sf{\frac{22}{7}×14×14\:cm^2}}[/tex]
=616 cm²
_____________________________________________
We know,
[tex]\large{\boxed{\sf{\red{Curved\: surface\: area\:=\:2\pi\:r\:h}}}}[/tex]
2. Curved surface area=2πrh
=[tex]{\sf{2\frac{22}{7}×14×21\: cm^2}}[/tex]
=1848 cm²
___________________________________________
We know,
[tex]\large{\boxed{\sf{\blue{Total\: surface\: area\:=\:2\pi\:r(h+r)}}}}[/tex]
3.Total surface area=2πr(h+r)
=[tex]{\sf{2\frac{22}{7}×14×(21+14)\: cm^2}}[/tex]
=3080 cm²
_____________________________________________
We know,
[tex]\large{\boxed{\sf{\pink{Total\: surface\: area\:=\:\pi\:r^2\:h)}}}}[/tex]
4.Volume of cylinder=πr²h
=[tex]{\sf{\frac{22}{7}×14×14×21\: cm^3}}[/tex]
=12,936 cm³
______________________________________________