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gulaghasi [49]
3 years ago
10

A sphere with a radius of 6 cm has the same volume as a cone with a height of 6 cm. What is the radius of the cone?

Mathematics
1 answer:
Advocard [28]3 years ago
8 0
The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2

Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2

Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm 

So the radius of the cone is 12 cm
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4 years ago
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kvasek [131]

Answer: Raymond is correct

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=================================================

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x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

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2 years ago
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V = 82,406.16 cm³

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