Find the volume of a cone if the height of the cone is 3 m and diameter of the base is 28 m. (Take \(\pi=\frac{22}{7}\))
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 616 m3
The volume of a cone is one third of the cylinder on the same base and height: \(\frac{1}{3}\pi r^2h\). The question gives the diameter, so the radius is half of it.
Radius \(r=\frac{28}{2}=14\) m, height \(h=3\) m
\(\displaystyle V=\frac{1}{3}\times\frac{22}{7}\times14\times14\times3\)
\(V=22\times2\times14=616\) m3