A right circular cone has an altitude of 75cm. and a diameter of 60cm. If the base is on the top, determine the depth of the liquid surface from the vertex if 15000cc. of liquid is poured into it. 54.30cm. 30.50cm. 48.900cm. 44.70cm. Click to Show/Hide the Solution \[ r_{1} = \frac{d_{1}}{2} \] \[ r_{1} = \frac{60}{2} \] \[ r_{1} = 30cm. \] \[ V_{1} = \frac{\pi (r_{1})^{2} h_{1}}{3} \] \[ V_{1} = \frac{\pi (30)^{2} (75)}{3} \] \[ V_{1} = 22500 \pi cc. \] \[ \frac{(h_{1})^{3}}{V_{1}} = \frac{(h_{2})^{3}}{V_{2}} \] \[ \frac{(75)^{3}}{22500 \pi} = \frac{(h_{2})^{3}}{15000} \] \[ h_{2} = 44.735 cm. \] \[ h_{2} \approx 44.70 cm. \leftarrow \text{answer} \]