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Alex777 [14]
2 years ago
8

A circle is drawn to represent a pizza with a 12

Mathematics
1 answer:
fredd [130]2 years ago
3 0

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

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first off let's notice that the height is 11 meters and the volume of the cone is 103.62 cubic centimeters, so let's first convert the height to the corresponding unit for the volume, well 1 meters is 100 cm, so 11 m is 1100 cm.

\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{103.62}\\ h=\stackrel{cm}{1100} \end{cases}\implies 103.62=\cfrac{\pi r^2 (1100)}{3} \\\\\\ 3(103.62)=1100\pi r^2\implies \cfrac{3(103.62)}{1100\pi }=r^2 \\\\\\ \sqrt{\cfrac{3(103.62)}{1100\pi }}=r\implies \stackrel{cm}{0.00510199305952} \approx r

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