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dsp73
3 years ago
7

A cylinder vase has a height of 10 inches and a diameter of 3 inches. If the water raises to 9/10 of the way to the top, approxi

mately how much water, in cubic inches, is in the vase? Use the symbol on your calculator and round to the nearest cubic inch.
Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

The volume of water in the vase is 64 in^3

Step-by-step explanation:

A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:

r = 3 / 2 = 1.5 inches

To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.

The volume of a cylinder is given as:

V = \pi r^2h

The volume of the vase will be:

V = \pi * 1.5^2 * 10\\V = 70.69 in^3

Hence, the volume of the water in the vase when it is 9/10 filled is:

\frac{9}{10} * 70.69 = 63.62 in^3

Approximating to the nearest cubic inch, the volume of water in the vase is 64 in^3

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