Question

a hemispherical bowl of internal diameter is 36 cm contains liquid.this liquid is filled into 72 cylinderical bottles of diameter 6 cm.find the height of each bottle ,if 10% liquid is wasted in this transfer

Answer 1

The volume of hemisphere is $\frac{2}{3}\pi r^3\frac{2}{3}\times \pi \times 18\times 18\times 18=3888\pi$

$10\%$ liquid is wasted

$⟹3888\pi -388.8\pi =3499.2\pi$

Volume of $72$ cylindrical bottles is $72\times \pi r^{2}h3499.2\pi =72\pi \times 3^{2}hh=\frac{3499.2}{72\times 9}=55.54cm$