Question

a rectangular prism with a height of 10 mm has a volume of 250 mm³. what is the radius of a cylinder with the same height and volume? 2.82 mm 5 mm 7.96 mm 8.86 mm

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Substitute given values

$250=\pi r^{2}\times10$

Step3: Solve for $r^{2}$

$r^{2}=\frac{250}{10\pi}=\frac{25}{\pi}$

Step4: Solve for $r$

$r = \sqrt{\frac{25}{\pi}}\approx 2.82$ mm

Answer:

$2.82$ mm