Question

the volume of cone is 770 cm cube.its height is 15 cm then its diameter is ???

Answer 1

volume =1/3πr^2×h
$770 = \frac{1}{3} \times \frac{22}{7} \times r \times r \times 15 \\ 2310 = \frac{22}{7} \times r \times r \times 15 \\ 154 = \frac{22}{7} \times {r}^{2} \\ \frac{7}{22} \times 154 = {r}^{2} \\ {r}^{2} = 49 \\ r = 7$
therefore radius=7 cm
we know that diameter=2r
diameter=2×7=14cm
thus the diameter of given cone is 14 cm
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