Question

what is the volume of this cylinder?
8 cm
7.6 cm
round your answer to the nearest whole number.
cubic centimeters
submit

Explanation:

Step1: Find the radius

The diameter \(d = 7.6\) cm. The radius \(r=\frac{d}{2}\), so \(r=\frac{7.6}{2}=3.8\) cm.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\). Here, \(h = 8\) cm and \(r = 3.8\) cm. Substitute the values: \(V=\pi\times(3.8)^{2}\times8\).
First, calculate \((3.8)^{2}=14.44\). Then \(V=\pi\times14.44\times8\).
\(V = 115.52\pi\). Using \(\pi\approx3.14\), we get \(V\approx115.52\times3.14 = 362.7328\).

Answer:

\(363\)