Question

cone is formed from 3, 200 ft” of gravel. Ifth bur calculator to determine the answer. Roun radius of the base of the cone is approximately

Answer 1

Answer: 11.3 ft

Given that

The volume of the cone = 3, 200 ft^3

Height of the cone = 24 ft

`\begin{gathered} \text{Volume of the cone = }(1)/(3)\cdot\pi\cdot r^2\cdot\text{ h} \\ \text{V = 3200 ft}^3 \\ \text{r = ?, h = 24} \\ 3200\text{ = }(1)/(3)\cdot\text{ 3.14 }\cdot r^2\cdot\text{ 24} \\ 3200\text{ = }\frac{3.14\cdot r^2\cdot\text{ 24}}{3} \\ \text{Cross multiply} \\ 3200\text{ x 3 = 3.14 }\cdot r^2\cdot\text{ 24} \\ 9600\text{ = }75.36\cdot r^2 \\ r^2\text{ = }(9600)/(75.36) \\ r^2\text{ = }127\text{ .3885} \\ \text{r = }\sqrt[]{127.3885} \\ \text{r = 11.286 ft} \\ \text{r = 11.3 ft} \end{gathered}`

Therefore, the radius of the cone is 11.3 ft