If the total surface area of cone is 704cm^2 and radius of its base is 7cm ,find the volume of cone
+15001 If the total surface area of cone is 704cm^2 and radius of its base is 7cm. Find the volume of cone.
Hello Guest!
\(S=\pi r^2+\pi rs=\pi r(r+s)\\ s=\frac{S}{\pi r}-r=\frac{704cm^2}{\pi \cdot7cm}-7cm\)
\(s=25cm\)
\(h=\sqrt{s^2-r^2}=\sqrt{(25^2-7^2)cm^2}\)
\(h=24cm\)
\(V=\frac{1}{3}\cdot \pi r^2h=\frac{1}{3}\cdot \pi \cdot 7^2cm^2\cdot 24cm\)
\(V=1231.5cm^3\)
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