Question

A cylindrical metal pipe has a diameter of 8.4 millimeters and

a height of 10 millimeters. A hole cut out of the center has a
diameter of 6 millimeters.
What is the volume of metal in the pipe? Use 3.14 for and
round the answer to the nearest tenth of a cubic millimeter.
84 mm
282.6 mm
271.3 mm
553.9 mm
836.5 mm
10 mm
What is the dam answer

Answer 1

271.3mm

Explanation:

d=8.4

h=10

r=4.2

A=(3.14(4.2^2)) 10

A=554.176944093

d=6

h=10

r=3

A=(3.14(3^2)) 10

A=282.743338823

Now you're going to want to subtract the second area from the first area to get the leftover amount.

554.176944093 - 282.743338823 =271.433661177

~271.3mm

Answer 2

Volume of a cylinder = pi x radius^2 x height of cylinder and diameter/2 is the radius so...

3.14 x (8.4/2) ^ 2 x 10 = 553.9

Since there is a hole that means you have to find the volume of the hole and subtract that from the volume of the whole pipe (553.9)

3.14 x (6/2) ^2 x 10 = 282.6

553.9 - 282.6 = 271.3