Matrix Matching :conversion of solids

Volume of cylindrical wire $=$ volume of sphere

$\pi \times {\left(0.1\right)}^2\times h=\frac{4}{3}\times \pi \times 3^2$

$h=\frac{4}{3}\times \frac{3\times 3\times 3}{0.1\times 0.1}$

$h=3600cm$$=36m$

Number of spherical balls$=\frac{volumeofcube}{volumeofeachball}$

$=\frac{44\times 44\times 44}{\frac{4}{3}\times \frac{22}{7}\times 2\times 2\times 2}=2541$

Number of candles $=\frac{volumeofcuboid}{volumeofeachcandle}$

$=\frac{66\times 42\times 21}{\frac{22}{7}\times {\left(2.1\right)}^2\times 2.8}=1500$

Volume of cylinder  =  volume of hollow hemispherical shall

$\pi r^{2}h=\frac{2}{3}\pi (R^3-r^3)$

$7\times 7\times h=\frac{2}{3}(5^3-3^3)$

$h=\frac{2}{3}\times \frac{98}{7\times 7}$

$h=\frac{4}{3}cm$

Diameter of coin $=1.75cm$

Radius $=0.875cm$

Thickness of coin $=2mm=0.2cm$

Number of coins made $=\frac{columeofcuboid}{volumeofeachcoin}$

$\frac{10\times 5.5\times 3.5}{\frac{22}{7}\times {\left(0.875\right)}^2\times \left(0.2\right)}$

$=400$