The perimeter of the base of a cone is 44 cm and slant height is 25 cm.find the volume and the curved surface of the cone
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The base of a cone is a circle.
The perimeter of a circle = 2πr
22/7 × 2 × r = 44/7r
44/7r = 44
44r = 308
r = 308/44
r = 7 cm
The height of the cone :
25² - 7² = 576
√576 = 24
24cm
Volume :
Volume = 1/3πr²h
1/3 × 22/7 × 7² × 24 = 1232cm³
= 1232 cm³
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