Question

calculate the volume of a cylinder with diameter 11.4 cm and height 15.6 cm. round your answer to the nearest cubic centimetre.
a) 1591 cm³
b) 6366 cm³
c) 558 cm³
d) 279 cm³

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter. Given diameter $d = 11.4$ cm, so $r=\frac{d}{2}=\frac{11.4}{2}=5.7$ cm.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$, where $h = 15.6$ cm. Substitute $r = 5.7$ cm and $h=15.6$ cm into the formula: $V=\pi\times(5.7)^{2}\times15.6$.
First, calculate $(5.7)^{2}=5.7\times5.7 = 32.49$. Then $V=\pi\times32.49\times15.6$.
$V=\pi\times506.844$. Taking $\pi\approx3.14$, we have $V\approx3.14\times506.844 = 1591.48016\approx1591$ $cm^{3}$.

Answer:

a) $1591$ $cm^{3}$