Question

how many spherical lead shots of diameter 8 cm would displace half the water contained in a cylindrical tank of radius 8 cm and height 16 cm?($\pi$=22/7}

Answer 1

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0.5 vol of cylinder =no. Of lead shots ×vol of per lead shot.

Let no. of lead shot be n

$\frac{1}{2} \times \pi {r}^{2} h = n \times \frac{4}{3} \pi {r}^{3}$

Cancel π on both side.put values.

$\frac{1}{2} {8}^{2} \times 16 = \frac{4}{3} {4}^{3} \times n$

Take n on one side..

${8}^{2} \times 8 \times \frac{3}{ {4}^{2} \times 4} = n$

Solve them for n

24 = n Ans

24 lead shot..

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