Solution:

Given perimeter of the base of a cone = 44 cm

2r = 44

2×22/7×r = 44

r = 44×7/(2×22)

r = 7 cm

Slant height, l = 25

height, h = √(l²-r²)

h = √(25²-7²)

h = √(625-49)

h = √576

h = 24 cm

Volume of the cone, V = (1/3)r²h

V = (1/3)×(22/7)×7²×24

V = (22/7)×49×8

V = 22×7×8

V = 1232

Hence the volume of the cone is 1232 cm³.

Curved surface area of the cone = rl

= (22/7)×7×25

= 22×25

= 550 cm²

Hence the curved surface area of the cone is 550 cm².