Question

The value of the surface area (in square centimetres) of the cone is equal to the value of the volume (in cubic centimetres) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.

Height:
cm

Please help Thank you

Answer 1

Answer: The height of the cone is 10.9 cm

Explanation:

Step 1: Find the height of the cone by Applying the Pythagoras Theorem

12² = 5² + h²

144 = 25 + h²

h² = 144 - 25

h² = 119

h = 10.9 cm

So the height of the cone is 10.9 cm

Hope this helps!