DJROSIE123
contestada

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 surface class=

Respuesta :

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

Otras preguntas