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Find the missing dimension of the cone. Round your answer to the nearest tenth.

6 mm
Volume
900 mm³

1 Answer

6 votes

Answer:

Explanation:

To find the missing dimension of the cone, we can use the formula for the volume of a cone:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

We are given that the radius of the base is 6 mm and that the volume of the cone is 900 mm³. We can substitute these values into the formula and solve for h:

900 = (1/3)π(6)^2h

h = 15

Therefore, the height of the cone is 15 mm. We rounded our answer to the nearest tenth as requested.

I hope this helps! Let me know if you have any other questions.

User Niels Steenbeek
by
7.5k points

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