Volume of cone

Question

The area of the base of right circular cone is 38.50 sq.cm.if its height is three times the radius of the base find its volume 

Answer 1

Volume of right circular cone is given by:  v = (1/3)πr²h

 

area of the base of right circular cone is 38.50 sq.cm

πr² = 38.5

r = √(38.5/π) = 3.5

 

v = (1/3)(38.5)(3r) = (1/3)(38.5)(3)(3.5) = 38.5(3.5) = 134.75 cm³