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# The height of a cone is 15 cm. If its volume is 1570 cm cube, find the radius of the base.

Last updated date: 20th Mar 2023
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We know that, volume of the cone $= \dfrac{1}{3}\pi {r^2}h$where r is radius and h is height. We have given the volume and height of the cone. Let’s put all the values.
$V = \dfrac{1}{3}\pi {r^2}h \\ \Rightarrow 1570 = \dfrac{1}{3} \times 3.14 \times {r^2} \times 15 \\ \Rightarrow r = \sqrt {\dfrac{{1570}}{{15}} \times \dfrac{3}{{3.14}} } \\ \Rightarrow r = \sqrt {100} \\ \Rightarrow r = 10 \\$