Math, asked by malti010872, 1 year ago

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Answers

Answered by kinshukkumar17
4

Answer:

Step-by-step explanation:

Here is your answer

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Answered by aquialaska
4

Answer:

Length of Wire is 112000 cm

Step-by-step explanation:

Given: OQ = QP, H = 10 cm   and OP = 20 cm

            ∠DOC = 60° and ∠DOP = 30°

            Radius of wire, r = \frac{1}{12}\:cm

To find: Length of wire, h

Let radius of frustum are r_1=PD\,,\,r_2=QB

In ΔPOD,

tan\,30^{\circ}=\frac{PD}{OP}

\frac{1}{\sqrt{3}}=\frac{r_1}{20}

r_1=\frac{20}{\sqrt{3}}\:cm

In ΔQOB,

tan\,30^{\circ}=\frac{QB}{OQ}

\frac{1}{\sqrt{3}}=\frac{r_2}{10}

r_2=\frac{10}{\sqrt{3}}\:cm

             

Volume of wire = volume of frustum

\pi r^2h=\frac{1}{3}\pi H(r_1^2+r_2^2+r_1r_2)

(\frac{1}{12})^2h=\frac{1}{3}\times10((\frac{20}{\sqrt{3}})^2+(\frac{10}{\sqrt{3}})^2+(\frac{20}{\sqrt{3}})(\frac{10}{\sqrt{3}}))

\frac{1}{144}h=\frac{10}{3}(\frac{400}{3}+\frac{100}{3}+\frac{200}{3})

\frac{1}{144}h=\frac{10}{3}\times\frac{700}{3}

h=\frac{10}{3}\times\frac{700}{3}\times144

h=112000

Therefore, Length of Wire is 112000 cm

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