A circus tent is cylindrical upto a height of 3 m and conical above it. If the diameter of base is 105m and slant height of conical
part is 53m, Then the total canvas used in making the
tent is
Answers
Answer:
9735 m. square
Step-by-step explanation:
pls refer the image.
CORRECT QUESTION :-
A circus tent is cylindrical upto a height of 3 m and conical above it. If the diameter of base is 105m and slant height of conical part is 53m, Then the total Area canvas used in making the tent is?
-----------METHOD (1)--------------------
SOLUTION :-
GIVEN :-
=> r = d/2 .°. r = 105/2m
=> L = 53m
=> h = 3m
CALCULATION :-
=> total canvas ,
=> CSA of cone + CSA of cylinder
=> πrl + 2πrh
=> .°. πr(l+2h)
=> 22/7 × 105/2 × [53 + 2(3)]
=> 11 × 15 × 59
=> 9735m².
hence, the total canvas used in making tent is 9735m².
----------METHOD (2)-------------------
SOLUTION :-
GIVEN :-
=> r = d/2 .°. r = 105/2 = 52.5m
=> L = 53m
=> h = 3m
CALCULATION :-
=> surface area of cylinder = 2πrh
=> 2×22/7×52.5× 3
=> 44 × 7.5 × 3
=> 990m².------------(1)
=> surface area of cone = πrl
=> 22/7 × 52.5 × 53
=> 22 × 52.5 × 53
=> 8745m².-----------(2)
from (1) & (2)
=> total canvas = surface area of cylinder+surface area of cone
=> total canvas = (990 + 8745)m²
=> total canvas = 9735m²
therefore, the total canvas used in making tent is 9735m².
☆verification :-
=> total canvas = surface area of cylinder+surface area of cone
=> 9735m² = (990 + 8745)m²
=> 9735m² = 9735m²
hence verified!!!
