curved surface area of an icecream cone of slant height 12cm is 113 04cm2 find the base radius and height - Maths - Surface Areas and Volumes

Question

curved surface area of an icecream cone of slant height 12cm is
113 04cm2 find the base radius and height of the cone(pi is 3
14)

Ajanta Trivedi · Accepted Answer

curved surface area of the cone = 113 04 sq cm slant height of the cone l = 12 cm let the radius of the cone be r cm curved surface area = $π r l$ therefore $3 14 * r * 12 = 113 04 37 68 r = 113 04 r = \frac{113 04}{37 68} = 3 c m$ let the height of the cone be h cm $h^{2} = l^{2} - r^{2} h^{2} = 12^{2} - 3^{2} h^{2} = 144 - 9 = 135 h = \sqrt{135} = 11 62 c m$ thus the radius of the cone is 3 cm and the height of the cone is 11 62 cm

curved surface area of an icecream cone of slant height 12cm is 113.04cm2.find the base radius and height of the cone(pi is 3.14)