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Chapter 1: Q16. (page 30)

Find the volume of each cylinder. Round to the nearest tenth.

Short Answer

Expert verified

The volume of the given cylinder is 5707.0 cubic centimeters.

Step by step solution

01

Step 1. State the formula.

The formula for the volume of a cylinder is V=蟺r2h, where V is the volume, r is the radius andh is the height of the cylinder.

02

Step 2. List the given data.

It is clear, from the given figure, that both the radius and the height of the cylinder is 12.2 cm.

Then, r=12.2cmand h=12.2cm.

03

Step 3. Calculate the volume.

Put r=12.2, h=12.2and 蟺=227in V=蟺r2hto get,

V=22712.2212.2=22712.23=2271815.848鈮�5706.9509roundedto4decimalplaces

So, V鈮�5706.9509.

04

Step 4. Determine the unit.

Since the unit of both radius and height of the cylinder is given as centimeters, the unit of volume must be cubic centimeters.

So, the volume of the cylinder is approximately 5706.9509 cubic centimeters.

05

Step 5. Rounding off.

Rounding to the nearest tenth, the volume of the given cylinder is 5707.0 cubic centimeters.

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