Question

A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks? Express your answer to the nearest cubic centimeter.

Answer 1

Answer:

$924.96\ cm^3$

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

$V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3$

Volume of 6 pucks,

$V=6\times 154.16\ cm^3\\\\=924.96\ cm^3$

So, the volume of the 6 puck is $924.96\ cm^3$.

Answer 2

Given the dimensions of a single hockey puck, we want to find the volume of a cylindrical package containing six pucks. We will see that the volume must be 925 cm^3

So the volume of a cylinder of diameter D and height H is:

V = 3.14*(D/2)^2*H

Here we have:

• D = 7.6cm
• H = 3.4cm.

Then the volume of each single puck is:

V = 3.14*(7.6cm/2)^2*3.4cm = 154.16cm^3

Then the volume of a package that contains 6 of these must have at least 6 times that volume:

6*V = 6*154.16cm^2 = 924.96 cm^3

Rounding to the next cubic centimeter we get 925 cm^3

So the volume of the package must be 925 cm^3

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