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lisabon 2012 [21]
3 years ago
5

A cylinder has a diameter that is twice it’s height. Another cylinder has a height that is twice it’s diameter. Which cylinder h

as a greater volume?

Mathematics
1 answer:
Amanda [17]3 years ago
4 0

Answer:

Cylinder on the left has 2 times the volume

Step-by-step explanation:

Volume of the cylinder on the left

V = pi * r^2 h

The radius is 1/2 the diameter, so

r = 2x/2 = x

r =x and h  =x

Substituting in

V = pi * x^2 *x

V = pi x^3

Volume of the cylinder on the right

V = pi * r^2 h

The radius is 1/2 the diameter, so

r =x/2 and h  =2x

Substituting in

V = pi * (x/2)^2 *2x

V = pi x^2/4 *2x

V= pi x^3 *1/2

V = 1/2 pi x^3

The volume of the cylinder on the right is 1/2 the volume of the cylinder on the left.

Cylinder on the left has 2 times the volume

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Answer:

If the signs of rational numbers are same, then the answer is positive.

If the signs of rational numbers are different, then the answer is negative.

Step-by-step explanation:

Consider the provided information.

A: When multiplying or dividing rational numbers, when will the answer be positive?

If we are multiplying or dividing rational numbers the answer will be positive if and only if both the rational numbers have same sign.

For example: Multiply 2 and 4.

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B: When multiplying or dividing rational numbers, when will the answer be negative?

If we are multiplying or dividing rational numbers the answer will be negative if and only if both the rational numbers have different sign.

For example: Multiply 2 and -4.

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\frac{-2}{4} =-\frac{1}{2}

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