Question

the three - dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it. the radius is 10 yards. find the volume of the solid in cubic yards, rounded to the nearest ten. use 3.14 for π. 1,630 725 1,510 1,570

Explanation:

Step1: Calculate cylinder volume

The formula for the volume of a cylinder is $V_{cylinder}=\pi r^{2}h$. Given $r = 10$ yards and $h=5$ yards, and $\pi = 3.14$. So $V_{cylinder}=3.14\times10^{2}\times5=3.14\times100\times5 = 1570$ cubic - yards.

Step2: Calculate rectangular - prism volume

The formula for the volume of a rectangular prism is $V_{prism}=l\times w\times h$. Given $l = 4$ yards, $w = 3$ yards and $h = 5$ yards. So $V_{prism}=4\times3\times5=60$ cubic - yards.

Step3: Calculate solid volume

The volume of the solid $V = V_{cylinder}-V_{prism}$. So $V=1570 - 60=1510$ cubic - yards.

Answer:

1,510