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sergeinik [125]
3 years ago
13

A plastic circular cone with a volume of x cubic centimeters is sliced horizontally into two shapes. If the height and radius of

the smaller cone is half the height and radius of the original cone, which expression represents the volume of the other piece in cubic centimeters?
Mathematics
1 answer:
kirill [66]3 years ago
5 0
For the original cone:
V = pi*h*r^2 = x
The upper half of the cone has half the height and half the radius of the original cone of volume x, so its volume is calculated as:
V = pi*(h/2)*(r/2)^2 = (1/8)*pi*h*r^2 = x/8

Therefore the volume of the other piece (the frustum) is x - (x/8) = 7x/8 cubic centimeters.
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At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,
Dennis_Churaev [7]

Answer:

\dfrac{x}{4}

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Step-by-step explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

      2m + m = 3c     (∴  w=2m )

                c = m

Total number of men, women and children at the picnic be x

∵       c + m + w = x

     m + m + 2m = x

                    4m = x

Number of men, m=\dfrac{x}{4}

Hence, The total number of men will be  \dfrac{x}{4}

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inna [77]
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