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Chapter 1: Q11. (page 32)

Find the surface area of each solid.

Short Answer

Expert verified

The surface area of the solid cylinder is 480.86 square inches.

Step by step solution

01

Step 1. State the formula.

The formula for surface area of a solid cylinder is S=2πrr+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 4.5 in. and height 12.5 in. Then, r=4.5in.andh=12.5in.

03

Step 3. Calculate the surface area.

Put r=4.5, h=12.5and π=227in S=2πrr+hto get,

S=22274.54.5+12.5=22274.517≈480.86roundedto2decimalplaces

So, S≈480.86.

04

Step 4. Determine the unit.

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

So, the surface area of the solid cylinder is approximately 480.86 square inches.

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