Question

A conical tent has an angle of 60 degree at the vertex . if the curved surface area is 100 meter square. then the volume of the tent is.

Answer 1

Step-by-step explanation:

Given A conical tent has an angle of 60 degree at the vertex . if the curved surface area is 100 meter square. then the volume of the tent is  

• Curved surface area of a cone is = π r l
•                                                          = π r (r^2 + h^2)
• We need to find r
• So tan 60 = r / h
•        √3 = r / h
• Or r = h√3
•            Now curved surface area of cone = π √3 h √(√3 h)^2 + h^2)
•                                        100 = π √3 h (√3 h^2 + h^2)
•                                       100 = π √3 h x 2h
•                                       100 = 2 √3 π h^2
•                                      100 / 2 √3 π = h^2
•                                   So h = √700 / 76.21
•                                  Or h = 3.03 m^2
• Now volume of cone = 1/3 π r^2 h
•                                     = 1/3 x 22 / 7 x (3√3)^2 x 3.03
•                                     = 1799.82 / 21
•                                      = 85.70 m^3
• So volume of the conical tent is 85.70 m^3

Reference link will be

https://brainly.in/question/5553233