.The height of a cylinder is 15cm and the curved surface area is 660 cm2 . Find its radius, total surface area and volume. About the author Autumn
Given : Height of a cylinder = 15 cm Curved surface area = 660 cm² To find : Radius Total surface area of cylinder Volume of the cylinder Concept Used : → Formula of Curved surface of cylinder :- CSA of cylinder = 2πrh → Formula of Total surface area of cylinder :- TSA of cylinder = 2πr(h + r) → Formula of volume of cylinder :- Volume = πr²h where, Take π = 22/7 r = radius of the cylinder h = height of the cylinder Solution : Radius → ⠀⠀⠀⇒ CSA of cylinder = 2πrh ⠀⠀⠀⇒ 660 = 2 × 22/7 × r × 15 ⠀⠀⠀⇒ 660 = 660/7 × r ⠀⠀⠀⇒ 660 × 7/660 = r ⠀⠀⠀⇒ 7 = r ★ Radius of the cylinder = 7 cm TSA of cylinder → ⠀⠀⠀⇒ TSA of cylinder = 2πr(h + r) ⠀⠀⠀⇒ TSA = 2 × 22/7 × 7(15 + 7) ⠀⠀⠀⇒ TSA = 2 × 22(22) ⠀⠀⠀⇒ TSA = 968 ★ Total surface area of cylinder = 968 cm² Volume of cylinder → ⠀⠀⠀⇒ Volume = πr²h ⠀⠀⠀⇒ Volume = 22/7 × (7)² × 15 ⠀⠀⠀⇒ Volume = 22/7 × 7 × 7 × 15 ⠀⠀⠀⇒ Volume = 22 × 7 × 15 ⠀⠀⠀⇒ Volume = 2310 ★ Volume of cylinder = 2310 cm³ Reply
Answer: Using the formula A=2πrh+2πr2 Solving forr r=1 2h2+2A π﹣h 2=1 2·152+2·660 π﹣15 2≈5.20009cm Reply
Given :
To find :
Concept Used :
→ Formula of Curved surface of cylinder :-
→ Formula of Total surface area of cylinder :-
→ Formula of volume of cylinder :-
where,
Solution :
Radius →
⠀⠀⠀⇒ CSA of cylinder = 2πrh
⠀⠀⠀⇒ 660 = 2 × 22/7 × r × 15
⠀⠀⠀⇒ 660 = 660/7 × r
⠀⠀⠀⇒ 660 × 7/660 = r
⠀⠀⠀⇒ 7 = r
★ Radius of the cylinder = 7 cm
TSA of cylinder →
⠀⠀⠀⇒ TSA of cylinder = 2πr(h + r)
⠀⠀⠀⇒ TSA = 2 × 22/7 × 7(15 + 7)
⠀⠀⠀⇒ TSA = 2 × 22(22)
⠀⠀⠀⇒ TSA = 968
★ Total surface area of cylinder = 968 cm²
Volume of cylinder →
⠀⠀⠀⇒ Volume = πr²h
⠀⠀⠀⇒ Volume = 22/7 × (7)² × 15
⠀⠀⠀⇒ Volume = 22/7 × 7 × 7 × 15
⠀⠀⠀⇒ Volume = 22 × 7 × 15
⠀⠀⠀⇒ Volume = 2310
★ Volume of cylinder = 2310 cm³
Answer:
Using the formula
A=2πrh+2πr2
Solving forr
r=1
2h2+2A
π﹣h
2=1
2·152+2·660
π﹣15
2≈5.20009cm