Question

the radius and height of right circular cone are in the ratio of 5 : 12 and volume is 2512 cubic cm. find the curve surface area and the total surface area of the cone.

Answer 1

$let \: the \: radius = 5x \\ height = 12x \\ volume = \\ ( \frac{1}{3} \times 3.14 \times {5x}^{2} \times 12x) {cm}^{2} \\ (314x3) \\ 314x3 = 2512 \\ x3 = \frac{2512}{314} \\ = 8 \\ x = 2$
r= 10 cm
h= 24 cm
slant height = (10)2 + (24)2
676 cm
26 cm
area of cuved surface = (3.14*10*26)cm2
816.4 cm2
whole surface area = 816.+3.14*10*10
(816.4+314)
1130.4cm2