Question

A circus tent has a cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 cm. The heights of the cylindrical and conical portions is 4.2 cm and 2.1 cm respectively.  Find the volume of that tent.

Answer 1

Given,

Radius of the cylindrical portion (R) = 20 m

Height of the cylindrical portion (h₁) = 4.2 m

Height of the conical portion (h₂) = 2.1 m

Now, we know that

Volume of the Cylindrical portion (V₁) = πr² h₁

V₁ = π(20)²4.2

V₁ = 5280 m³

And, the volume of the conical part (V₂) = 1/3 × 22/7 × r² × h²

V₂ = 13 × 22/7 × 20² × 2.1

V₂ = 880 m³

Thus, the total volume of the tent (V) = volume of the conical portion + volume of the Cylindrical portion

V = V₁ + V₂

V = 6160 m³

Therefore, volume of the tent is 6160 m^{3 .}