Mensuration-5

From Homeworkwiki

The circumference of the base of a 24 m high conical tent is 62-6/7 m. Calculate the area
of the canvas used in making the tent. Also find the volume of the air contained in it.

Solution: The circumference C = 2 π r = 62-6/7 m

Therefore, r = 440/7 x 7/(2 x 22) = 10 m

The slant height = √(r² + h²)

= √(100 + 576) = √676 = 26 m

Area of the canvas used = π r l

= 22/7 x 10 x 26 = 817.14 sq. m

The volume of the air contained in the tent is

V = 1/3 x π r² h

= 1/3 x 22/7 x 10 x 10 x 24

2514.2 cu. m