Question

How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .

Answer 1

➢ Answєr :

$\Huge{\boxed{\sf{\red{22.98m}}}}$

➢ Explαnαtion :

Givєn :

• Radius of the tent,r = 3.5 m
• Height of the tent, h = 8.4 m

To Find :

• length of the cloth required.

Solution :

According to the question,

Slant height, l = $\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}$

$\implies$ $\displaystyle{\sf{ = 9.192m}}$

curved surface area = $\displaystyle{\sf{ \pi rl}}$

$\implies$ $\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}$

$\implies$ $\displaystyle{\sf{ 101.112}}$

i.e., Area of the cloth is 101.11m²

Now, length of the cloth required = $\displaystyle{\sf{ \frac{area}{width}}}$

$\implies$ $\displaystyle{\sf{ \frac{101.11}{4.4}}}$

$\implies$ $\large{\boxed{\sf{\red{22.98m}}}}$