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

Step-by-step 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,

$\rightarrow$ $\sf{=\: \frac{22}{7}×6×10}$

$\rightarrow$ $\sf{=\: \frac{22}{7}×60}$

$\rightarrow$ $\sf{=\: \frac{1320}{7}}$

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

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

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Hope it helps:)