An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much frozen water is in the icicle? Use 3.14 for mc016-1.jpg. Round the answer to the nearest tenth.
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The amount of frozen water in the icicle is equal to the volume of the icicle
Since it is a cone, we use the formula for finding the volume of a cone
Volume of a cone = 1/3 x base area x height
= 1/3 x πr² h
The diameter = 14 mm
⇒ Radius = 14/2 = 7 mm (radius is half diameter)
∴ Volume of the icicle = 1/3 x 3.14 x 7² x 60
= 3077.2 mm³
So, the amount of frozen water = 3077.2 mm³ (to the nearest 10th)
Since it is a cone, we use the formula for finding the volume of a cone
Volume of a cone = 1/3 x base area x height
= 1/3 x πr² h
The diameter = 14 mm
⇒ Radius = 14/2 = 7 mm (radius is half diameter)
∴ Volume of the icicle = 1/3 x 3.14 x 7² x 60
= 3077.2 mm³
So, the amount of frozen water = 3077.2 mm³ (to the nearest 10th)
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According to question,
Diameter of conic icicle D = 14 mm
radius of conic icicle r = 7 mm
Height of icicle H = 60 mm
Thus, Volume, V = 1/ 3 pi r ^2 * H
= 1/3 * 3.14 * 49 * 60
= 3077.2 mm^3
Diameter of conic icicle D = 14 mm
radius of conic icicle r = 7 mm
Height of icicle H = 60 mm
Thus, Volume, V = 1/ 3 pi r ^2 * H
= 1/3 * 3.14 * 49 * 60
= 3077.2 mm^3
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