Question

What length of tarpaulin 4 m wide will be required to make conical tent of height 24 m
and base diameter 14 m? Assume that the extra length of material that will be required
for stitching margins and wastage in cutting is approximately 50 cm. Also, find total
cost of tarpaulin if I m? cost Rs. 11.​

Answer 1

$\huge{\bold{\underline{\underline{Question:-}}}}$

What length of tarpaulin 4 m wide will be required to make conical tent of height 24 m

and base diameter 14 m? Assume that the extra length of material that will be required

for stitching margins and wastage in cutting is approximately 50 cm. Also, find total

cost of tarpaulin if I m? cost Rs. 11.

$\huge{\bold{\underline{\underline{Question:-}}}}$

h = Height of tent = 24 m

r = Base radius = 7 m

Therefore,

$l = \sqrt{ {r}^{2} + {h}^{2} } = 25 \: m$

Curved surface area of the cone

= πrl

= 3.14×7×25 m²

Therefore, length of 3 m wide tarpaulin required

$= \frac{3.14 \times 7\times 25}{4}$

$= 137.375 \: m$

Extra length required = 0.5m

∴ Total length required

= 137.375 + 0.5

$\huge{\purple{\boxed{\red{137.875m}}}}$

Now,

Cost of 1m tarpaulin = Rs. 11

Cost of 137.875m tarpaulin = Rs. 11 × 137.875

$\huge{\red{\underline{\underline{\purple{\boxed{\orange{Cost\:=\:Rs. 1,516.625}}}}}}}$