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Chapter 1: Q12. (page 32)

Find the surface area of each solid.

Short Answer

Expert verified

The surface area of the solid cylinder is 362.25 square centimeters.

Step by step solution

01

Step 1. State the formula.

The formula for surface area of a solid cylinder is S=2蟺rr+h, where S is the surface area, r is the radius and h is the height of the cylinder.

02

Step 2. List the given data.

It is clear, from the given figure, that the given solid is a cylinder of radius 5.1 cm and height 6.2 cm. Then, r=5.1cmand h=6.2cm.

03

Step 3. Calculate the surface area.

Put r=5.1, h=6.2and 蟺=227in S=2蟺rr+hto get,

S=22275.15.1+6.2=22275.111.3鈮�362.25roundedto2decimalplaces

So, S鈮�362.25.

04

Step 4. Determine the unit.

Since the unit of radius and height are both given as centimeters, the unit of the surface area must be square centimeters.

So, the surface area of the solid cylinder is approximately 362.25 square centimeters.

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