[tex] \\ \\ \\ \\ \\ \\ [/tex]If the curved surface area of a right circular cylinder whose base radius and height are equal is 72piecm^2, then the diameter of the base is. About the author Alaia
[tex]\huge{\underline{\underline{\boxed{\mathscr{\red{Aɴsᴡᴇʀ\: ࿐}}}}}} [/tex] Solution :- We know, Curved surface area of cylinder = 2πrh [Where, r is radius and h is height of cylinder] Put all values : [tex]\longrightarrow 72π = 2 × π × r × h[/tex] Radius and height are equal. [tex]\longrightarrow 72π = 2π × r × r[/tex] [tex]\longrightarrow 72π = 2π × r²[/tex] [tex]\sf \longrightarrow \dfrac{72 \: \cancel{\pi}}{2 \: \cancel{\pi}}[/tex] [tex]\longrightarrow 36 = r²[/tex] [tex]\longrightarrow √36 = r[/tex] [tex]\longrightarrow \: r = 6[/tex] Radius of cylinder is 6 cm. Now, Diameter = 2 × radius [tex]⟶ Diameter = 2 × 6[/tex] [tex]\longrightarrow \: Diameter = 12[/tex] Therefore, Diameter of base of cylinder is 12 cm. Reply
[tex]\huge \sf \bf {\boxed{\underline {\pink{\underline {✠Aɴʂᴡᴇʀ࿐ :−}}}}} [/tex] Radius of cylinder (r)=7cm Height of cylinder (h)=15cm Curved Surface Area =2πrh =2×(22/7)×7×15 =660cm 2 Total Surface Area =2πr(h+r) =2×(22/7)×7(15+7) =2×22×22 =968cm Reply
[tex]\huge{\underline{\underline{\boxed{\mathscr{\red{Aɴsᴡᴇʀ\: ࿐}}}}}} [/tex]
Solution :-
We know,
Curved surface area of cylinder = 2πrh
[Where, r is radius and h is height of cylinder]
Put all values :
[tex]\longrightarrow 72π = 2 × π × r × h[/tex]
Radius and height are equal.
[tex]\longrightarrow 72π = 2π × r × r[/tex]
[tex]\longrightarrow 72π = 2π × r²[/tex]
[tex]\sf \longrightarrow \dfrac{72 \: \cancel{\pi}}{2 \: \cancel{\pi}}[/tex]
[tex]\longrightarrow 36 = r²[/tex]
[tex]\longrightarrow √36 = r[/tex]
[tex]\longrightarrow \: r = 6[/tex]
Radius of cylinder is 6 cm.
Now,
[tex]⟶ Diameter = 2 × 6[/tex]
[tex]\longrightarrow \: Diameter = 12[/tex]
Therefore,
[tex]\huge \sf \bf {\boxed{\underline {\pink{\underline {✠Aɴʂᴡᴇʀ࿐ :−}}}}} [/tex]
Radius of cylinder (r)=7cm
Height of cylinder (h)=15cm
Curved Surface Area =2πrh
=2×(22/7)×7×15
=660cm
2
Total Surface Area =2πr(h+r)
=2×(22/7)×7(15+7)
=2×22×22
=968cm