Volume of a cone formula: \(V = \frac{1}{3}\pi r^{2} h\)
Given volume: \(183^{3} ft\)
Let's find the radius, \(r\), using the given volume:
\(V = \frac{1}{3}\pi r^{2} h\)
\(183^{3} = \frac{1}{3}\pi r^{2} \times 7\)
\(549 = \pi r^{2} \times 7\)
\(r^{2} = \frac{549}{7\pi}\)
\(r^{2} \approx 24.84\)
\(r \approx 4.98\) ft
Now we can find the volume using \(r = 4.98\) ft and \(h = 7\) ft:
\(V = \frac{1}{3}\pi (4.98)^{2} \times 7\)
\(V = \frac{1}{3}\pi (24.80) \times 7\)
\(V \approx 164 ft^{3}\)
Rounding to the nearest whole number, the volume of the cone is approximately 164 cubic feet.
Find the volume of the cone. Round your answer to the nearest whole number.
1. Height: 7 ft
Volume: \(183^{3}\) ft
1 answer