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Question
maria is making a candle in the shape of a cylinder. she wants the candle to have a height of 3 cm and a radius of 2 cm. how much wax does maria need? 12 π cm² 18 π cm³ 20 π cm² 12 π cm³
Step1: Recall the formula for the volume of a cylinder
The volume \( V \) of a cylinder is given by \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.
Step2: Substitute the given values into the formula
Given \( r = 2\space\text{cm} \) and \( h=3\space\text{cm} \). Substitute into \( V=\pi r^{2}h \):
\( V=\pi\times(2)^{2}\times3 \)
\( V=\pi\times4\times 3 \)
\( V = 12\pi\space\text{cm}^{3} \)
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\( 12\pi\space\text{cm}^{3} \)