Question

Find the slant height of the right circular cone if the base diameter of the right circular cone is 14 cm and the height is 24 cm.

(a) 11 cm

(b) 13 cm

(c) 28 cm

(d) 25 cm

This question was posed to me in final exam.

Query is from Surface Area and Volume of Different Solid Shapes topic in chapter Surface Area and Volumes of Mathematics – Class 10

Answer 1

Right option is (d) 25 cm

The explanation: Radius (r) = \(\frac {diameter}{2} = \frac {14}{2}\) = 7 cm

Slant height = \(\sqrt {h^2+r^2}\)

= \(\sqrt {24^2+7^2}\)

= \(\sqrt {576+49}\)

= 25 cm