Question

the height of a right circular cone 12cm volume 100π. find its slant height​

Answer 1

Answer:

Slant height of the circular cone

=13 cm

Step-by-step explanation:

Given:-

the height of a right circular cone 12cm volume 100π.

To find:-

find its slant height.

Using formula:-

If the radius is r units and height is h units then volume of the right circular cone is πr²h/3 cubic units.

and slant height of the cone =√(h²+r²) units

Solution:-

Height of the circular cone(h)=12 cm

Volume of the cone=100π

=>πr²h/3=100π

=>πr²12/3=100π

=>πr²(4)=100π

=>4πr²=100π

=>r²=100π/4π

=>r²=25

=>r²=5²

=>r=5

Radius of the cone (r)=5 cm

now

Slant height of the circular cone(l)=

=>l=√(h²+r²)

=>l=√(12²+5²)

=>l=√(144+25)

=>l=√169

=>l=13 cm

Answer:-

Slant height of the circular cone =13 cm