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

Question

asked Dec 5, 2023 106k views

2 Answers

Ninj · Answer 1 · 2023-12-06T03:53:59+0000

Explanation:

Given:-

To find :-

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

Bill Denney · Answer 2 · 2023-12-11T16:19:45+0000

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

$\rightarrow$ 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:)