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Question

Right after Cindy buys a frozen yogurt cone, her friend Maria calls her, and they talk for so long that the frozen yogurt melts before Cindy can eat it. The cone has a slant height of $3.9 \mathrm{in}$. and a diameter of $2.4 \mathrm{in}$. If the frozen yogurt has the same volume before and after melting, and when melted just fills the cone, how much frozen yogurt did Cindy have before she talked to Maria, to the nearest tenth of a fluid ounce?

Find the volume of the cone in cubic inches.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3The volume $V$ of a cone with radius $r$ is one-third the area of the base $B$ times the height $h$.

$V=\dfrac{1}{3}Bh=\dfrac{1}{3}r^2\pi h$

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