The base of a 12 m-high wooden solid cone has a circumference of 44 m. Find its volume. (Use $π = \frac{22}{7}$)
Answer & explanation
Correct answer: option 1
We know that,
Volume = \(\frac{1}{3}\)πr2h
Circumference = 2πr
We have,
Height of wooden solid cone = 12cm
Circumference = 44cm
Circumference = 2πr = 44
= 2 × \(\frac{22}{7}\) × r = 44
= r = 7 cm
The volume of the cone = \(\frac{1}{3}\) × \(\frac{22}{7}\) × 7 × 7 × 12 = 616 cm3