Dan needs to dig a hole in his backyard to access the pipes underground. He manages to make a hole (shaped similarly to a cylinder) that is 2 meters across and 2.5 meters deep. How much dirt did he dig out of the ground? 15.7 cubic meters 5.2 cubic meters 7.85 cubic meters 10.32 cubic meters

Option (c) = He dig out 7.85 cubic meters

Explanation:

Dirt dug out of ground will be given by the volume of the cylindrical hole dug by Dan in his backyard.

We are given that the hole is 2 meters across which means the diameter of cylinder, d = 2 m

then radius of cylindrical hole, r = 1 m and

depth of hole = 2.5 m which = height of cylinder = h

Volume of cylinder hole is given by

V = π x r x r x h

= 3.14 x 1 x 1 x 2.5

= 7.85 cubic meters which is the required answer.

7.85

Step-by-step explanation:

Use the volume formula for a cylinder (V=πr^2h)

π (1) ^2 (2.5) = 7.85