A hollow sphere has inner volume half the outer volume. Its 4/5 ,… - Vidyadip

MCQ

A hollow sphere has inner volume half the outer volume. Its $4/5\,th$ part is submerged when placed in water. The density of material is

A
$1.4 \times {10^3}\,kg/{m^3}$
B
$1.5 \times {10^3}\,kg/{m^3}$
✓
$1.6 \times {10^3}\,kg/{m^3}$
D
$17 \times {10^3}\,kg/{m^3}$

✓

Answer

Correct option: C.

$1.6 \times {10^3}\,kg/{m^3}$

c
$\rho\left(\frac{\mathrm{V}}{2}\right) \mathrm{g}=\sigma \frac{4}{5}(\mathrm{V}) \mathrm{g}$

$\rho=\sigma\left(\frac{8}{5}\right)$

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