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Ulla valmistaa litran taikinasta
2cm
t* paksun, ympyrän muotoisen pannupizzapohjan. Mikä on pohjan halkaisija?

$14$ . Ulla valmistaa litran taikinasta $2 \mathrm{~cm}$ $\newline$ t* paksun, ympyrän muotoisen pannupizzapohjan. Mikä on pohjan halkaisija?

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Multiply and divide rational expressions

Full solution

Q.

14

. Ulla valmistaa litran taikinasta

2 \mathrm{~cm}

\newline

t* paksun, ympyrän muotoisen pannupizzapohjan. Mikä on pohjan halkaisija?

Calculate Volume of Dough: Ulla is making a pizza base that's a circle, so we need to find the volume of the dough to get the diameter. The volume of the dough is $1$ liter, which is $1000$ cubic centimeters (since $1$ liter $= 1000 \, \text{cm}^3$ ).
Use Cylinder Volume Formula: The volume of a cylinder (which is what the pizza base is shaped like) is calculated by the formula $V = \pi r^2 h$ , where $V$ is volume, $r$ is radius, and $h$ is height (or thickness in this case). We know $V = 1000 \, \text{cm}^3$ and $h = 2 \, \text{cm}$ .
Find Radius Squared: Rearrange the formula to solve for $r^2$ : $r^2 = \frac{V}{\pi h}$ . Plug in the values: $r^2 = \frac{1000 \text{ cm}^3}{\pi \times 2 \text{ cm}}$ .
Calculate Radius: Calculate $r^2$ : $r^2 = \frac{1000 \text{ cm}^3}{3.14 \times 2 \text{ cm}} = \frac{1000 \text{ cm}^3}{6.28 \text{ cm}} = 159.24 \text{ cm}^2$ .
Calculate Diameter: Find the radius by taking the square root of $r^2$ : $r = \sqrt{159.24} \, \text{cm}^2 = 12.62 \, \text{cm}$ .
Calculate Diameter: Find the radius by taking the square root of $r^2$ : $r = \sqrt{159.24} \, \text{cm}^2 = 12.62 \, \text{cm}$ .The diameter is twice the radius, so $d = 2r$ . Calculate the diameter: $d = 2 \times 12.62 \, \text{cm} = 25.24 \, \text{cm}$ .

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