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{ (22)/(7) * 3.5 * 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{ (area)/(width)}}`

`\implies`
`\displaystyle{\sf{ (101.11)/(4.4)}}`

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