If the height and slant height of a right circular cone are 8 cm and 10 cm, respectively, then the volume of the cone is (use π = $\frac{22}{7}$ ): ( correct the two decimal places)
Answer & explanation
Correct answer: option 2
Given,
Height = 8 cm
Slant height = 10 cm
We know that,
l2 = r2 + h2
Where, h = height
r = radius and l = slant height
102 = r2 + 82
= 100 = r2 + 64
r2= 100 - 64 = 36
r = 6
We know that the volume of the cone = \(\frac{1}{3}\)πR2H
= \(\frac{1}{3}\) × \(\frac{22}{7}\) × (6)2 × 8 = 301.71 cm3