Question

The height of a tent is 9cm its base diameter is 24cm what is slant height?
please, give the answer with diagram of cone ​

Answer 1

Answer:

bsubas

Step-by-step explanation:

r=7 cm

l (slant height)= h (height of cylinder)=4 cm

T.S.A of the figure= C.S.A of Cone+C.S.A of cylinder +C.S.A of hemisphere.

CSA of cone: πrl=(3.14)×(7cm)×(4cm)=87.92 cm

2

CSA of cylinder: 2πrh=(2)×(3.14)×(7cm)×(4cm)=175.84 cm

2

CSA of hemisphere: 2πr

2

=(2)×(3.14)×(7cm)

2

=307.72 cm

2

Adding all: TSA of figure= 571.48 cm

2

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Answer 2

Given

--) Height of the tent = 9 cm

--)Diameter of base = 24 cm

therefore radius = 12 cm

To find :

Slant height = l

Solution

$\sf \implies { \boxed{ \red{ {l}^{2} = {r}^{2} + {h}^{2}}}} \\ \sf \implies \: {l}^{2} = {12}^{2} + {9}^{2} \\ \sf \implies {l}^{2} = 144 + 81 \\ \sf \implies \: {l}^{2} = 225 \\ \sf \implies \: l \: = \sqrt{225} \\ \sf \implies{ \boxed{ \pink{l = 15 \: cm}}}$