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The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?

1 Answer

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Answer:

The volume of the cone is 100.48 units³ approximately

Explanation:

To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²
(h)/(3)

where v is the volume of the cone

r is the radius and h is the height of the cone

from the question given, diameter d = 8 units but d=2r which implies r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²
(h)/(3)

v ≈ 3.14 × 4² × 6/3

v ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the volume of the cone is 100 .48 units³ approximately

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