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3 years ago

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

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

Answer:

The volume of the cone is 100.48 units³ approximately

Step-by-step 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 $\frac{h}{3}$

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 $\frac{h}{3}$

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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aalyn [17]

Answer:

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b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

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Probability is approximately 10.6% (see above for calculation)

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