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How to find the volume and surface area of a pizza slice

User JohnAl
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Solution

How to find the volume and surface area of a pizza slice:

The area of the circle is given in terms of radius, which is half the diameter, or 6 inches.

Therefore, the area of the pizza is π * 6^2 = 36π in^2. If the pizza is 8-slices, one slice is equal to 1/8 of the total pizza or (36π)/8 = 4.5π in^2

Surface area = π * 6^2/8

Surface area = 45 π in^2

A pizza is approximately the shape of a cylinder, so to get its volume, we have to multiply its area by its height. Thus the volume V of a pizza with height a is given by V=a⋅ A = pi ⋅ z ⋅ z ⋅ a!

Volume of a pizza is similar to volume of cylinder

where h = 8inches , radius = 6inches


\begin{gathered} V=\pi r^2h \\ V=\pi(6^2)8 \\ V=288\pi \end{gathered}

The dimension used is inches

How to find the volume and surface area of a pizza slice-example-1
User Shloime
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