Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 53 yd 94 yd cubic yards submit

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Identify the values of \( r \) and \( h \)

Given \( r = 53\) yd and \( h=94\) yd.

Step3: Substitute the values into the formula

\( V=\pi\times(53)^{2}\times94\).
First, calculate \( (53)^{2}=53\times53 = 2809\).
Then, \( V=\pi\times2809\times94\).
\( 2809\times94=(2800 + 9)\times94=2800\times94+9\times94=263200+846 = 264046\).
So, \( V = 264046\pi\).
Using \( \pi\approx3.14159265\), \( V\approx264046\times3.14159265\).
\( V\approx829746.57\) (rounded to the nearest hundredth).

Answer:

\(829746.57\)