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A cylindrical cake is made in a pan that has a diameter of 10

inches and a height of 2 inches. What is the total surface
area of the icing on the cake?

User Honeybear
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7.7k points

2 Answers

4 votes

141.37 square inches

User Alexismorin
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8.2k points
4 votes

Answer:

about 141.4 square inches

Explanation:

You want the area of icing on a cake that is 10 inches in diameter and 2 inches high.

Icing

The icing on a cake covers the lateral surface area and the area of the circular top. In terms of diameter, the sum of those areas is ...

icing area = πdh +(π/4)d² = πd(h +d/4)

icing area = π(10 in)(2 in + (10 in)/4) = π(10 in)(4.5 in)

icing area = 45π in² ≈ 141.4 in²

The area of icing on the cake is about 141.4 square inches.

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Additional comment

If you use 3.14 for π, you get 141.3 square inches.

The attachment shows the "pi button" value. We have rounded to tenths, The full precision result is given so you can round to your checker's requirements.

<95141404393>

A cylindrical cake is made in a pan that has a diameter of 10 inches and a height-example-1
User Kcwu
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