Math, asked by Hriday3278, 9 months ago

find the c.s.a of cone whose height is 15 cm and base diameter 15 16 cm take π= 3.14

Answers

Answered by Tumbukli
0

Answer:

427.04cm^2

Step-by-step explanation:

h=15cm

d=16cm

r=8cm

π=3.14

CSA of a cone = πrl

l = √r^2+h^2

=√64+225

=√289

= 17cm

CSA = 3.14x8x17

= 427.04cm^2

Hope it helps.........

Please mark as brailiest!!!

Answered by BrainlyConqueror0901
1

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\therefore{\text{C.S.A\:of\:cone=427.04\:cm}^{2}}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

 \green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) =8 \: cm} \\ \\ : \implies \text{Height(h) =15\: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{C.S.A\: of \: cone = ?}

• According to given question :

 \bold{As \: we \: know \: that} \\ : \implies \text{Slant \: height = hypotenuse \: of \: right \: circular \: cone} \\ \\ : \implies {h}^{2} = {p}^{2} + {b}^{2} \\ \\ :\implies {l}^{2} = {15}^{2} + {8}^{2} \\ \\ : \implies {l}^{2} = 225+64 \\ \\ : \implies {l} = \sqrt{289} \\ \\ \green{: \implies {l} =17\: cm} \\ \\ \bold{As \: we \: know \: that \: C.S.A \: of \: cone}\\ : \implies \text{C.S.A\: of \: cone} = \pi rl \\ \\ : \implies \text{C.S.A \: of \: cone} = \frac{22}{7} \times 8 \times 17 \\ \\ : \implies \text{C.S.A \: of \: cone} =3.14 \times  136\\ \\ \green{ : \implies \text{C.S.A\: of \: cone} =427.04\: {cm}}^{2}

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