Question

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The base radius and total surface area of a solid cone are 9 cm and 720 cm² respectively. Find the volume of the cone.

Answer 1

Jawaban:[tex]luas \: kerucut = \pi \: r(r + s) \\ 720 = 3.14 \times 9(9 + s) \\ 720 = 28.26 (9 + s) \\ 720 = 254.34 + 28.26s \\ 720 - 254.34 = 28.26s \\ 465.66 = 28.26s \\ \frac{465.66}{28.26} = s \\ 16.48 = s \\ \\ t = \sqrt{( {16.48})^{2} - {9}^{2} } \\ t = \sqrt{190.6} \\ t = 13.8 \: cm \\ \\ volume \: kerucut = \frac{1}{3} \times \pi \: {r}^{2} t \\ = \frac{1}{3} \times 3.14 \times {9}^{2} \times 13.8 \\ = 1169.96 \: {cm}^{3} [/tex]