Question

calculator
a cylinder has a height of 30 ft and a volume of 63,679 ft³.
what is the radius of the cylinder?
round your answer to the nearest whole number.
676 ft
338 ft
52 ft
26 ft

Explanation:

Step1: Write the formula for the volume of a cylinder

The volume formula of a cylinder is \( V=\pi r^{2}h \), where \( V \) is the volume, \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( V = 63679\space ft^{3}\), \( h=30\space ft\) and \( \pi\approx3.14 \). So, \( 63679 = 3.14\times r^{2}\times30 \).

Step3: Solve for \( r^{2} \)

First, simplify the right - hand side: \( 3.14\times30 = 94.2 \). Then \( r^{2}=\frac{63679}{94.2}\). \( r^{2}\approx676 \).

Step4: Solve for \( r \)

Take the square root of both sides: \( r=\sqrt{676}\). \( r = 26\space ft\)

Answer:

\( 26\space ft \)