A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the volume of the tent.
Answers
Answer:
The Volume of the circus tent is = 6160 m³
Step-by-step explanation:
SOLUTION :
Given :
Radius of the cylindrical portion , r = 20 m
Height of the cylindrical portion, H = 4.2 m
Height of the conical portion , h = 2.1 m
Volume of the Cylindrical portion V1 = πr²H
V1 = 22/7 × 20² × 4.2 = 22 × 400 × 0.6
V1 = 5280 m³
Volume of the conical part , V2 = ⅓πr²h
V2 = ⅓ × 22/7 × 20² × 2.1
V2 = (22 × 400 × 2.1)/21= 22 × 400 × 0.1
V2 = 880 m³
Total volume of the circus tent V = volume of the conical portion ,V1 + volume of the Cylindrical portion,V2
V = V1 + V2
V = 5280 + 880
V = 6160 m³
Hence, the Volume of the circus tent is = 6160 m³.
HOPE THIS ANSWER WILL HELP YOU….
given that a circus tent has cylindrical shape and is surmpunted by a conical roof.
the radius of the cylindrical base is 20m.
therefore the radius of the conical portion must also be 20m.
height of the cylindrical portion = 4.2m
height of the cylindrical portion = 2.1m
total volume of the tent = area of the cylindrical portion + area of the conical portion
= πr²h + 1/3πr²h
= (22/7 × 20 × 20 × 4.2) + (1/3 × 22/7 × 20 × 20 × 2.1)
= (8800 × 0.6) + (8800 × 0.1)
= 5280 + 880
= 6160cm³
hence, the volume of the tent is 6160cm³