Answer:
300.94 sq.m
Step-by-step explanation:
A solid in the shape of cylinder with two hemisphere to each of its ends.
- Length of the entire solid = 18 m
- Diameter of the solid = 7 m
- Radius of hemisphere , r = 7 / 2 = 3.5 m
To find
Formula Used
- Curved surface area of hemisphere= 2π ×r ²
- Curved surface area of cylinder = 2 π × r × h
Solution :-
Finding, the Curved surface area of cylinder
Calculate the height of cylinder
- Height of cylinder = total length of solid - 2 × radius of hemisphere
- Height of the cylinder = 18 m - 2 × 3.5
- = 18 m - 7 m
Height of cylinder = 11 m
Now, we have
Height of cylinder = 11 m
Radius of cylinder = 7 / 2 = 3.5 m
Using Formula :-
Curved surface area of cylinder = 2× π × r × h
Substitute the values
Curved surface area of cylinder = 2π× 3.5m×11m.
Using the value of π = 3.14
Curved surface area of cylinder =2×3.14× 3.5m × 11 m.
multiply, we get.
Curved surface area of cylinder = 241.78 m².
Finding curved surface area of hemisphere
Using Formula
Curved surface area of hemisphere = 2 × π × r²
substitute the values into the formula
Curved surface area of hemisphere = 2 π × ( 3.5 )²
Evaluate the exponent
Curved surface area of hemisphere =2π×12.25m².
Using value of π = 3.14
Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²
multiply , we get
Curved surface area of hemisphere = 76.93 m².
Find the total area
Total area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)
Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².
Total surface area = 241.78m² + 153.86m².
Subtract and finally we get
Total surface area = 395.64 m ²
