find the volume of the cone. round to the nearest tenth. 9 cm r = 6 cm

Answer:
[tex] \boxed{\sf V = 339.1 \ cm^{3}} [/tex]
Given:
Height (h) = 9 cm
Radius (r) = 6 cm
To Find:
Volume of the cone
Step-by-step explanation:
[tex] \sf Volume \: of \: the \: cone = \frac{1}{3} \pi {r}^{2} h \\ \\ \sf = \frac{1}{3} \times \pi \times {(6)}^{2} \times 9 \\ \\ \sf = \frac{1}{ \cancel{ 3}} \times \pi \times {(6)}^{2} \times \cancel{3} \times 3 \\ \\ \sf = \pi \times {(6)}^{2} \times 3 \\ \\ \sf = \pi \times 36 \times 3 \\ \\ \sf = 108\pi \: {cm}^{3} \\ \\ \sf = 108 \times = 339.12 \: {cm}^{3} \\ \\ \sf \approx 339.1 \ cm^{3} [/tex]