Question

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 Round your answer to the nearest hundredth.

Answer 1

Answer:

It is C 3,769.91 mm

Explanation:

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Answer 2

Volume is the space occupied. The volume of the frozen water in the icicle in cubic millimeters is 572.265 mm³.

What is the volume of a cone?

The volume of a cone is the space occupied by a cone, it is given by the formula,

$\text{Volume of the Cone} = \dfrac{1}{3}\pi r^2h$

We know that the icicle is like a cone, therefore, the water that icicle can hold is the volume of the icicle, therefore, the volume of the icicle can be written as,

$\text{Volume of the icicle} = \text{Volume of the Cone}$

$\begin{aligned}\text{Volume of the icicle} &= \dfrac{1}{3}\pi r^2h\\ &=\dfrac{1}{3}\times 3.14 \times (4.5)^2 \times (27)\\&= 572.265\rm\ mm^3\end{aligned}$

Hence, the volume of the frozen water in the icicle in cubic millimeters is 572.265 mm³.

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