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The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) 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.

The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the su class=

Answer :

calculista

Answer:

The height of the cone is 10.9 cm

Step-by-step explanation:

step 1

Find the height of the cone

Applying the Pythagoras Theorem

[tex]12^{2}=5^{2}+h^{2}[/tex]

[tex]144=25+h^{2}[/tex]

[tex]h^{2}=144-25[/tex]

[tex]h^{2}=119[/tex]

[tex]h=10.9\ cm[/tex]

therefore

The height of the cone is 10.9 cm

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