A rocket in the shape of a cone is attached to a cylinder with the same base radius which is 12m. The cone has a slant height of 15m. The cylinder has a base diameter of 12m and a height of 42m. Find the the total surface area of the rocket. ( Formula for Total Surface Area = Curved Surface area of cone+ Curved surface area of hemisphere).
Answers
▪︎Given:-
- A Rocket is in the shape of cone with cylinder.
- Base Radius of cone = 12m
- Slant Height of cone = 15m
- Base Radius of cone = Base radius of cylinder
- Base Radius of cylinder = 12m
- Height of cylinder = 42m.
════◄••❀••►════
▪︎To Find:-
- Total Surface Area of Rocket
════◄••❀••►════
▪︎Formula Used:-
- Surface Area of Rocket = Curved Surface Area of cone + Curved Surface Area of cylinder + Surface Area of base.
- Curved Surface Area of cone = πrl
- Curved Surface Area of cylinder = 2πrh
- Surface Area of base = πr²
- π = 3.14
════◄••❀••►════
▪︎Solution:-
➥ Finding C.S.A. of cone;
C.S.A. of cone
= πrl
= 3.14 × 12 × 15
= 565.2m²
════◄••❀••►════
➥ Finding C.S.A. of cylinder
C.S.A of cylinder
= 2πrh
= 2 × 3.14 × 12 × 42
= 3165.12m²
════◄••❀••►════
➥ Finding Surface Area of base of cylinder
Surface Area of base
= πr²
= 3.14 × 12²
= 3.14 × 144
= 452.16 m²
════◄••❀••►════
➥ Finding Total Surface Area of Rocket
Surface Area of Rocket = Curved Surface Area of cone + Curved Surface Area of cylinder + Surface Area of base
= 565.2 + 3165.12 + 452.16
= 4182.48m²
════◄••❀••►════
▪︎Answer:-
Total surface area of Rocket is 4182.48m²
════◄••❀••►════
Answer:
A Rocket is in the shape of cone with cylinder.
Base Radius of cone = 12m
Slant Height of cone = 15m
Base Radius of cone = Base radius of cylinder
Base Radius of cylinder = 12m
Height of cylinder = 42m.
════◄••❀••►════
▪︎To Find:-
Total Surface Area of Rocket
════◄••❀••►════
▪︎Formula Used:-
Surface Area of Rocket = Curved Surface Area of cone + Curved Surface Area of cylinder + Surface Area of base.
Curved Surface Area of cone = πrl
Curved Surface Area of cylinder = 2πrh
Surface Area of base = πr²
π = 3.14
════◄••❀••►════
▪︎Solution:-
➥ Finding C.S.A. of cone;
C.S.A. of cone
= πrl
= 3.14 × 12 × 15
= 565.2m²
════◄••❀••►════
➥ Finding C.S.A. of cylinder
C.S.A of cylinder
= 2πrh
= 2 × 3.14 × 12 × 42
= 3165.12m²
════◄••❀••►════
➥ Finding Surface Area of base of cylinder
Surface Area of base
= πr²
= 3.14 × 12²
= 3.14 × 144
= 452.16 m²
════◄••❀••►════
➥ Finding Total Surface Area of Rocket
Surface Area of Rocket = Curved Surface Area of cone + Curved Surface Area of cylinder + Surface Area of base
= 565.2 + 3165.12 + 452.16
= 4182.48m²
════◄••❀••►════
▪︎Answer:-
Total surface area of Rocket is 4182.48m²