What length of tarpaulin 3 m wide will be required to make a conical tent of height 8 m and base radius 6 m? Assume that the extra length of material will be required for stitching margins and wastage in cutting is approximately 20 cm. (Use π =3.14).

Question

What length of tarpaulin 3 m wide will be required to make a conical tent of height 8 m and base radius 6 m? Assume that the extra length of material will be required for stitching margins and wastage in cutting is approximately 20 cm. (Use &#x3C0; =3.14).

Philoid · Accepted Answer

we have,

Height of tent = 8 m

Base radius = 6 m

Slant height (l) == = 10 m

Curved surface area of the cone = πrl = 3.14×6×10 m²

∴Length of 3 m wide tarpaulin required

= = 62.8 m

Extra length required for stitching and cutting wastage = 0.2 m

Total length required = 62.8+0.2 = 63m

What length of tarpaulin 3 m wide will be required to make a conical tent of height 8 m and base radius 6 m? Assume that the extra length of material will be required for stitching margins and wastage in cutting is approximately 20 cm. (Use π=3.14).