Question

The volume of one can is 300 cubic centimeters. What is the radius of this can? Round to the nearest hundredth.

Answer 1

Volume of cylinder

$\pi {r}^{2} h$

Volume of the can = 300

$300 = \pi {r}^{2} h$

$300 = \frac{22}{7} {r}^{2} h$

$300 \times \frac{7}{22} = {r}^{2} h$

$150 \times \frac{7}{11} = {r}^{2} h$

$95.45 = { r}^{2} h$

$\frac{95.45}{h} = {r}^{2}$

$\sqrt{ \frac{95.45}{h} } = r$

$\frac{ \sqrt{95.45} }{ \sqrt{h} } = r$