A circus tent is cylindrical to a height of 3 m and conical above it. If its diameter is 105 m and slant height of the cone is 53 m, calculate the
total area of the canvas required.
Answers
Step-by-step explanation:
If the diameter of the. "A circus tent is cylindrical upto a height of 3m and conical above it. If the diameter of the base is 105m and the slant height of the conical part is 53m, find the total canvas used in making the tent."
Answer:
height cylinder part of the tent = 3m
radius of cylindrical part = 105/2 = 52.5m
therefore, lateral surface area of the cylinder =
2πrh
= 44/7 × 52.5 × 3
= 44 × 7.5 × 3
= 990m²
now, slant height of the conical part = 53m
radius = 52.5m
= πrl
= 22/7 × 52.5 × 53
= 22 × 7.5 × 53
= 8745m
therefore, total = 990+8745
= 9735m²
Now , as it's not given in Question, that there is a floor or not. If there isn't then the above Answer is correct ↑
If there is , then total = founded area + area of the base
area of base = πr²
= 8662.5
therefore, total = 9735+8662.5
= 18397.5 m²
hope it helped !! :)