Question

volume of a right circular cone is 1782cm3 its height is 21cm find the radius of the cone

Answer 1

Given that : The volume of right circular cone = 1782cm³ and Height = 21

As we know that : Volume of Cone =

$\frac{1}{3} \pi {r}^{2} h$

According to the question :

$\frac{1}{3} \pi {r}^{2} h = 1782 \\ \\ = > \frac{1}{3} \times \frac{22}{7} \times {r}^{2} \times 21 = 1782 \\ \\ = > {r}^{2} = \frac{1782 \times 3 \times 7}{21 \times 22} \\ \\ = > {r}^{2} = 81 \\ \\ = > r = 9$

So, the value of radius will be 9 cm.

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