Question

How much paper is needed to make a cone with a radius of 6cm, a height of 8cm, and a slant height of 10cm?

Answer 1

Explanation:

Given:-

• Radius of cone :- 6cm
• Height of cone :- 8cm
• Slant height of cone :- 10 cm

To find :-

• How much paper is needed to make a cone

Concept :-

• We need to find the Curved surface area of cone to find the amount of paper needed to make the cone of given dimensions.

Solution :-

As we know ,

the formula for finding the curved surface area of cone :- πrl

putting the known values ,

CSA :- 3.14 × 6 × 10 cm²

CSA of cone :- 188.4 cm²

Answer 2

`\sf\large\underline{\star Given:-}`

`\rightarrow` Radius(r) of cone =
`\sf\pink{6cm.}`

`\rightarrow` Height(h) of Cone =
`\sf\pink{8cm.}`

`\rightarrow` Slant height(l) of cone =
`\sf\pink{10cm}`

`\sf\large\underline{\star To \: Find:-}`

`\rightarrow` Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).

`\sf\large\underline{\star Solution:-}`

`\rightarrow` As we know that,

Curved surface area of cone =
`\sf\blue{πrl}`

On substituting the value of radius(r) and slant height(l) in this formula we get,

`\rightarrow`
`\sf{=\: (22)/(7)×6×10}`

`\rightarrow`
`\sf{=\: (22)/(7)×60}`

`\rightarrow`
`\sf{=\: (1320)/(7)}`

`\rightarrow`
`\sf{=\: 188.57 cm^2.}`

Therefore,
`\sf\purple{188.57cm^2}` paper is needed to make a cone of given dimensions.

_____________________________

Hope it helps:)