Math  /  Geometry

QuestionThe volume and surface area of a cone are given, respectively, by the formulas V=13πr2hand V=\frac{1}{3} \pi r^{2} h_{\text {and }} S.A. =πrL+πr2=\pi r L+\pi r^{2}.What expression represents the surface area-to-volume ratio for a right cone in simplest form. 3L+rrh\frac{3 L+r}{r h} 3rL+πh\frac{3 r L+\pi}{h} 3L+Jrrh\frac{3 L+J r}{r h} 3rL+3π3 r L+3 \pi

Studdy Solution
Our simplified surface area-to-volume ratio for a right cone is 3(L+r)rh\frac{3 \cdot (L + r)}{r \cdot h}, which can also be written as 3L+3rrh\frac{3L + 3r}{rh}.

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