Question

The height of conical tent at centre is 5m.The distance of any point on its circular base from top of tent is 13m.The area of slant surface is

Answer 1

Height = 5m

Slanted Height = 13m

Define x:

Let the radius be x

Find the radius:

a² + b² = c²

x² + 5² = 13²

x² = 13² - 5²

x² = 144

x = √144

x = 12 m

Find the area of the slanted (curved) surface:

Area of curved surface = πrl

Area of curved surface = π(12)(13) = 156π = 490.29 m²

Answer: The area of the slanted surface is 490.29 m²