Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 12 cm 10 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter is 12 cm, so the radius $r=\frac{12}{2}=6$ cm.

Step2: Use the volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$. Substitute $r = 6$ cm and $h=10$ cm. So $V=\pi\times6^{2}\times10=\pi\times36\times10 = 360\pi$ $cm^{3}$.

Step3: Calculate the value and round

$V\approx360\times3.14159 = 1130.9724$ $cm^{3}$. Rounding to the nearest hundredth gives $V\approx1130.97$ $cm^{3}$.

Answer:

$1130.97$