Question

The volume of right circular cone is 660 cm cube if the diameter of base is 12find the height of cone and slant height of cone

Answer 1

hope it helps. ............

Answer 2

The height of cone and slant height of cone are 17.5 cm and 18.5 cm respectively.

Step-by-step explanation:

Diameter of cone = 12 cm

Radius of cone = $\frac{12}{2}=6 cm$

Volume of cone = $\frac{1}{3} \pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times 6^2 \times h$

The volume of right circular cone is 660 cm cube

$\frac{1}{3} \times \frac{22}{7} \times 6^2 \times h = 660$

$h=\frac{660 \times 7 \times 3}{22 \times 6^2}$

h=17.5 cm

Slant height =$l =\sqrt{h^2+r^2}$

So, $l = \sqrt{17.5^2+6^2}$

$l=18.5 cm$

Hence the height of cone and slant height of cone are 17.5 cm and 18.5 cm respectively.

#Learn more:

The volume of a right circular cone is 1232 cm cube if the diameter of base is 14 cm then find the height of the cone slant height of the cone curved surface area of the cone

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