Which of the following is not a correct answer when the formula $V=\frac{1}{3} \pi r^{2} h$ is solved for $h$ ?

A) $3\biggl(\frac{\mathrm{V}}{\pi \mathrm{r}^{2}}\biggl)$

B) $\frac{3 \mathrm{~V}}{\pi \mathrm{r}^{2}}$

C) $\frac{1}{3}\biggl(\frac{\mathrm{V}}{\pi \mathrm{r}^{2}}\biggl)$

D) $\frac{\mathrm{V}}{\frac{1}{3} \pi \mathrm{r}^{2}}$

Question

Which of the following is not a correct answer when the formula $V=\frac{1}{3} \pi r^{2} h$ is solved for $h$ ?

A) $3\biggl(\frac{\mathrm{V}}{\pi \mathrm{r}^{2}}\biggl)$

B) $\frac{3 \mathrm{~V}}{\pi \mathrm{r}^{2}}$

C) $\frac{1}{3}\biggl(\frac{\mathrm{V}}{\pi \mathrm{r}^{2}}\biggl)$

D) $\frac{\mathrm{V}}{\frac{1}{3} \pi \mathrm{r}^{2}}$

Quizplus · Accepted Answer

Solving $V=\frac{1}{3} \pi r^{2} h$ for $h$ involves isolating $h$ on one side of the equation. Multiplying both sides by $3$ and dividing by $\pi r^{2}$ gives $h = \frac{3V}{\pi r^{2}}$, making options A, B, and D correct representations of $h$, and option C incorrect because it represents $h$ as being multiplied by $\frac{1}{3}$ instead of $3$.

Which of the Following Is Not a Correct Answer When V=13πr2hV=\frac{1}{3} \pi r^{2} hV=31​πr2h

Which of the Following Is Not a Correct Answer When $V=\frac{1}{3} \pi r^{2} h$