Question

A right circular cone is of height 3.6cm and radius of its base is 1.6cm.it is melted and recost in to a right circular cone with radius of its base 1.2cm Find the height of cone so formed​

Answer 1

Answer: 3.601 is the height

Volume of cone= (pi)*(r^2)* (h/3)

                          = 3.14 x 1.6 x 1.6 x 3.6/3

                          = 9.65 $cm^{3}$

Volume of new cone = Volume of original cone

9.65 = pi x $r^{2}$ x h/3

(9.65 x 3) = pi x r^2 x h

28.95/ pi x r^2 = h

28.95/ 8.038

3.601 cm = h