Question

A tent is cylindrical to a height of 3 m and conical above it. If its base diameter is 105 m and the height at the centre is 21 m, find the slant height of the conical part.find in sq.m the canvas required for the tent.

Answer 1

the answer is provided in the attechment

Answer 2

Answer:

Slanted Height = 55.5 m

Canvas needed = 10147.5 m²

Step-by-step explanation:

Find the radius:

Radius = Diameter ÷ 2

Radius = 105 ÷ 2 - 52.5 m

Find the height of the cone:

Height = 21 - 3 = 18 m

Find the slanted height:

a² + b² = c²

18² + 52.5² = c²

c² = 3080.25

c = √3080.25

c = 55.5 m

Find the surface area:

Surface area = πrl + 2πrh

Surface area = π(52.5)(55.5) + 2π(52.5)(3) = 10147.5 m²

Answer: The slanted height is 55.5 m and the canvas required is 10147.5 m²