Question

The radius and height of a right circular cone are in the ratio 5:12 .if it’s volume is 314 cm^3 ,find its slant height.

Answer 1

Answer:

let radius =5x and height = 12x.

• we know that volume of right circular cone =1/3 πrrh
• =1/3*3.14*5x*5x*12x =31

$100{x }^{2} = 100$

• ${x}^{2} = 100 \div 100$
• $x = 1$
• radius =5*1=5 and height = 12*1=12
• $slant height = sqrt{ {5}^{2} + {12}^{2} }$
• l =
• $sqrt{169}$
• l=13 cm