Question

If height of a cone is doubled then its volume will increase by what peecent

Answer 1

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Answer 2

$v1 = \frac{1}{3}\pi {r}^{2} h \\ \\ v2 = \frac{1}{3}\pi{r}^{2}2h \\ \\ \% = \frac{v2 - v1}{v1} \times 100 \\ \% = \frac{ \frac{1}{3}\pi {r}^{2}2h - \frac{1}{3}\pi {r}^{2}h }{ \frac{1}{3}\pi {r}^{2}h } \times 100 \\ \% = \frac{ \frac{1}{3}\pi {r}^{2}(2h - h) }{ \frac{1}{3}\pi {r}^{2}h } \times 100 \\ \% = \frac{ \frac{1}{3}\pi {r}^{2}h }{ \frac{1}{3}\pi {r}^{2}h } \times 100 \\ \% = 100\%$