Question

the radius and height of a right circular cone are in the ratio 2:3.find the slant height if its volume is 100.48cu.cm(take pie=3.14)​

Answer 1

Answer:

$slant \: height = \sqrt{ {r }^{2} + {h }^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{ {2}^{2} + {3}^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{4 + 9 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{13} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.61 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Answer 2

Step-by-step explanation:

As the ratio of the radius and height of the cone is 2:3

Let the radius of the cone be 2x and height be 3x.

Given,

V=100.48 cm

3

We know that the volume of the cone

V=

h=3×2=6 cm

We know that the slant height of the cone

Hence, this is the answer.