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

Question

Mathematics

Molly Wu

30 April, 08:42

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

+5

Answers (2)

Know the Answer?

Ally Moon · Answer 1

7.85

Step-by-step explanation:

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

π (1) ^2 (2.5) = 7.85

Dayami Maldonado · Answer 2

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.