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A Circus Tent is Cylindrical to a Height of 4 M and Conical Above It. If Its Diameter is 105 M and Its Slant Height is 40 M, Then Find the Total Area of the Canvas Required. - Mathematics

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प्रश्न

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, then find the total area of the canvas required.

योग

उत्तर

we have,

Height of the cylindrical part, H = 4 m,

Radius of the base, `r = 105/2 "m" and

slant height of the conical part, l = 40 m

Now,

The total area of canvas required = CSA of conical part + CSA of cylindrical part

= πrl + 2πrH

= πr(l + 2H)

`=22/7xx105/2xx(40+2xx4)`

= 11 × 15 × 48

= 7920 m2

So, the area of the canvas required to make the tent is 7920 m2.

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अध्याय 19: Volume and Surface Area of Solids - Formative Assessment [पृष्ठ ९३७]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Formative Assessment | Q 3 | पृष्ठ ९३७

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