Question

given that the volume of a cone is 2355 cm cube and the area of its base is 314 CM square find its height​

Answer 1

Step-by-step explanation:

$\implies$ $A=πr^{2}$

$\implies$ $314=3.14×r^{2}$

$\implies$ $r^{2}=\Large\frac{314}{3.14}$

$\implies$ $r=\sqrt{100}$

$\implies$ $\boxed{r=10}$

$\implies$ $V=πr^{2}\Large\frac{h}{3}$

$\implies$ $h=\Large\frac{3V}{πr^{2}}$

$\implies$ $h=\Large\frac{3×2355}{3.14×100}$

$\implies$ $h=\Large\frac{7065}{314}$

$\implies$ $\large{\boxed{h=22.5\:cm}}$

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