Question

The volume of a cone circular base is 2165 cm cube if the base radius is 9 CM then find the height of cone

Answer 1

Given, volume of cone = 2165 cm³

radius = 9 cm

$v = \frac{1}{3} \pi {r}^{2} h \\ = > 2165 = \frac{1}{3} \times \frac{22}{7} \times {9}^{2} \times h \\ = > \frac{2165 \times 3 \times 7}{22 \times 9 \times 9} = h \\ = > \frac{45465}{1782} = h \\ = > 25.51 \: cm = h$

Hence, the height of the cone is 25.51 cm

Hope it helps you