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If the total surface area of cone is 704cm^2 and radius of its base is 7cm ,find the volume of cone​

 Sep 20, 2020
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If the total surface area of cone is 704cm^2 and radius of its base is 7cm. Find the volume of cone​.

 

Hello Guest!

 

\(S=\pi r^2+\pi rs=\pi r(r+s)\\ s=\frac{S}{\pi r}-r=\frac{704cm^2}{\pi \cdot7cm}-7cm\)

\(s=25cm\)

 

\(h=\sqrt{s^2-r^2}=\sqrt{(25^2-7^2)cm^2}\)

\(h=24cm\)

 

\(V=\frac{1}{3}\cdot \pi r^2h=\frac{1}{3}\cdot \pi \cdot 7^2cm^2\cdot 24cm\)

\(V=1231.5cm^3\)

laugh  !

 Sep 20, 2020

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