Question

HELPPPPP PLEASEEEEE!!!

Answer 1

The height of right circular cone is h = 15.416 cm

Explanation:

The formula used to calculate lateral surface area of right circular cone is:
`s=\pi r√(r^2+h^2)`

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

`s=\pi r√(r^2+h^2)\\236.64=3.14(4.75)√((3.75)^2+h^2) \\236.64=14.915√((3.75)^2+h^2) \\(236.64)/(14.915)=√(14.0625+h^2) \\15.866=√(14.0625+h^2) \\Switching\:sides\:\\√(14.0625+h^2) =15.866\\Taking\:square\:on\:both\:sides\\(√(14.0625+h^2))^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\√(h^2)=√(237.6665) \\h=15.416`

So, the height of right circular cone is h = 15.416 cm