Question

question 13 (5 points) listen what is the volume of the cylinder? 10 ft 16 ft a) 1696.46 ft.³ b) 1158.79 ft.³ c) 2010.62 ft.³ d) 1020.02 ft.³

Explanation:

Step1: Find the radius of the cylinder

The diameter \(d = 16\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{16}{2}=8\) ft.

Step2: Use the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Here, \(h = 10\) ft and \(r = 8\) ft. Substitute the values: \(V=\pi\times(8)^{2}\times10\).
First, calculate \((8)^{2}=64\). Then \(V=\pi\times64\times10 = 640\pi\).
Using \(\pi\approx3.14159\), we have \(V\approx640\times3.14159\).
\(640\times3.14159 = 2010.6176\approx2010.62\) \(ft^{3}\).

Answer:

C. \(2010.62\) \(ft^{3}\)