Question

the height of a cone is 16 cm and the area of its base is 3/5 that of its curved surface.Find the radius of the base

Answer 1

Answer:

Given height of cone =16 cm

radius of base =12 cm

(1) slant height l=

r

2

+h

2

l=

(12)

2

+(16)

2

l=

144+256

l=

400

l=20 cm

∴ slant height of cone is 20 cm

(2) CSA of cone = πrl

=3.14×12×20

=240×3.14

CSA of cone = 753.6 cm

2