Question

volume of cone is 1212 cm cube and the height is 24 cm find the surface of cone ( ^ =22 upon 7)​

Answer 1

Questions

Questions

volume of cone is 1212 cm³ cube and the height is 24 cm find the surface of cone ( π=22 /7)

Step by step explaintion.

let the radius of the base and slant height of the cone be r cm and 1 cm respectively

height of the cone , h = 24 cm

volume of the cone = 1212 cm ³

$( \frac{1}{3} )\pi \: r {}^{2} \: h \: = 1212 {cm}^{2}$

$\frac{1}{3} \times \frac{22}{7} \times {r}^{2} \times 24 = 1212$

${r}^{2} = \frac{1212 \times 7}{22 \times 8} = 48.2$

${r}^{2} = 7cm \:$

now ,

${l}^{2} = {r}^{2} + {h}^{2}$

${l}^{2} = {(7)}^{2} + {(24)}^{2}$

${l}^{2} = 49 + 579 = 625$

${l}^{2} = \sqrt{625}$

$= 25cm$

surface area of the cone = πrl

$= \frac{22}{7} \times 7 \times 25 = 550cm {}^{2}$

answer :

the surface of cone is 550cm²

Answer 2

Answer:- 550 cm^2

Solution:-

Volume = 1212 cm^3 , height = 24 cm
Surface area = ?


Volume = 1212 cm

=> 1/3 pie r^2 h = 1212
=> 1/3 ✖️ 22/7 ✖️ r^2 ✖️ 24 = 1212
=> r^2 = 1212 ✖️ 7 / 22 ✖️ 8
=> r^2 = 8484/176
=> r^2 = 48.2 = 49
=> r = 7 cm

To find slant height,
L^2 = r^2 + h^2 r
L^2 = 7^2 + 24^2
L^2 = 49 + 576
L^2 = 625
L = 25 cm


Surface area of a cone = pie r l

=> 22/7 ✖️ 7 ✖️ 25
=> 3850/7
=> 550 cm^2 (Ans)



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