Question

please answer this the radius and height of a metallic cylinder 4.2 centimetre and 5.6 CM respectively it is melted and mounted into a sphere find the radius of the sphere ​

Answer 1

Answer:

radius = 4.2 cm

Step-by-step explanation:

Volume of cylinder :

$\implies$ $\sf{V=πr^2h }$

$\implies$ $\sf{V={\Large\frac{22}{7}}×4.2×4.2×5.6 }$

$\implies$ $\sf{V=22×0.6×4.2×5.6 }$

$\implies$ $\sf{V\:of\:cylinder=310.464cm^3 }$

Find radius using volume of sphere :

$\implies$ $\sf{V={\Large\frac{4}{3}}πr^3 }$

$\implies$ $\sf{ 310.464={\Large\frac{4×22}{3×7}}×r^3}$

$\implies$ $\sf{r^3={\Large\frac{310.464×21}{22×4}} }$

$\implies$ $\sf{r^3=74.088 }$

$\implies$ $\sf{r=\sqrt[3]{74.088} }$

$\implies$ $\boxed{\sf{radius=4.2cm }}$

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