How many meters of cloth 5.2 metre wide will be required to make a con

1.	How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose base is 10 m and height is 24 m?1). 60π m2). 50π m3).4). 57π m
Answer» Given, Radius of the BASE of the cone (R) = 10 m Height of the Cone (H) = 24 m ? SLANT height (l) = $(\sqrt {\left( {{R^2}{\rm{\;}} + {\rm{\;}}{H^2}} \right)})$ ∴ Slant Height = $(\sqrt {{{10}^2} + {{24}^2}}= 26{\rm{\;}}m)$ We know, Curved Surface AREA of the cone = πRl ∴ Curved Surface Area = π x 10 x 26 = 260π m² Area of the cloth USED = Curved Surface Area of the cone = 260π m² Given, width of the cloth = 5.2 m Length of the cloth used = Area of Cloth used/Width of Cloth ∴ Length of the cloth = 260π/5.2 = 50π

How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose base is 10 m and height is 24 m?1). 60π m2). 50π m3).4). 57π m

Answer»

Given,

Radius of the BASE of the cone (R) = 10 m

Height of the Cone (H) = 24 m

? SLANT height (l) = $(\sqrt {\left( {{R^2}{\rm{\;}} + {\rm{\;}}{H^2}} \right)})$

∴ Slant Height = $(\sqrt {{{10}^2} + {{24}^2}}= 26{\rm{\;}}m)$

We know,

Curved Surface AREA of the cone = πRl

∴ Curved Surface Area = π x 10 x 26 = 260π m²

Area of the cloth USED = Curved Surface Area of the cone = 260π m²

Given, width of the cloth = 5.2 m

Length of the cloth used = Area of Cloth used/Width of Cloth

∴ Length of the cloth = 260π/5.2 = 50π

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