Question

prove that {cosec(90-theta) -sin(90-theta)}{cosec theta -sin theta} {tan theta +cot theta } =1
​

Answer 1

The length of the wire is 288 m

Step-by-step explanation:

radius of sphere = 6 cm

for cylindrical wire

diameter = 2 mm

radius = 1 mm = 0.1 cm

let the length of wire = x cm

then

volume of metallic sphere = volume of cylindrical wire'

\begin{gathered}\frac{4}{3} \pi r ^3 = \pi r ^2h \\\\\frac{4}{3} \times 6\times6\times6 = 0.1\times 0.1 \times h\end{gathered}

3

4

πr

3

=πr

2

h

3

4

×6×6×6=0.1×0.1×h

288 = 0.01 × h

h = \frac{288}{0.01}

0.01

288

h = 28800 cm = 288 m

hence ,The length of the wire is 288 m