Math, asked by Tanay123456789, 1 year ago

The diameter of base and height of a cone is 14 cm and 24 cm, respectively. Find the curved surface area of the cone.


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Answers

Answered by Shardul27
6
Given,
 \:  \:  \:  \:  \:  \:  \:   \: d = 14cm \\  =  > r = 7cm \\  \\   \:  \:  \:  \:  \:  \:  \:  \: h = 24cm


As we know that,
 \:  \:  \:  \:  \:  \:  \:  \: l =  \sqrt{ {h}^{2} +  {r}^{2}  } \\  =  >l =  \sqrt{ {24}^{2} +  {7}^{2}  } =  \sqrt{225} \\  =  > l = 25cm.



Now,
C. S. A  \:  \: of \:  \:  cone = \pi \: rl \\    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{22}{7} \times 7 \times  \times 25 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   = 22 \times 25 = 550 {cm}^{2}.






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Answered by brainlystargirl
1

Heya ______

Ques _____ The diameter of base and height of a cone is 14 cm and 24 cm, respectively. Find the curved surface area of the cone ??

Solution _______

For finding l ___

As given ___

D = 14 cm

R = 7 cm

h = 24 cm

l = √h^2+r^2

l = √24^2 + 7^2

l = √225

l = 25 cm _____

For the CSA of cone ____

CSA of cone is ___ πrl

22/7 x 7 x 25

22 x 25

= 550 cm

Thank you

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