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Find the lateral area and the surface area of the right cone. Round your nearest answers to the nearest hundredth

Find The Lateral Area And The Surface Area Of The Right Cone Round Your Nearest Answers To The Nearest Hundredth class=

Sagot :

Step-by-step explanation:

Given that,

The height of the cone, h = 24 cm

The radius of the cone, r = 10 cm

The slant height of the cone is :

[tex]l=\sqrt{h^2+r^2} \\\\l=\sqrt{24^2+10^2} \\\\l=26\ cm[/tex]

The lateral area of the cone is given by :

[tex]A=\pi rl\\\\=3.14\times 10\times 26\\\\=816.4\ cm^2\approx 816\ cm^2[/tex]

The surface area of the cone is given by :

[tex]A=2\pi rh\\\\=2\times 3.14\times 10\times 24\\\\=1507.2 \approx 1507\ cm^2[/tex]

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