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Ksenya-84 [330]
1 year ago
11

The answer is 2(sign)21 I need help with the work

Mathematics
1 answer:
wariber [46]1 year ago
4 0

Using Pythagoras:

4^2+x^2=10^2\Longrightarrow x^2=10^2-4^2=100-16\text{ = }84\Longrightarrow x\text{ = }\sqrt[]{84}x=\sqrt[]{84\text{ }}=\sqrt[]{2\cdot42}\text{ = }\sqrt[]{2\cdot2\cdot21}\text{ = }\sqrt[]{21\cdot2^2}\text{ =2}\cdot\sqrt[]{21}

Answer:

2\cdot\text{ }\sqrt[]{21}

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The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

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Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

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The volume of the cylinder = πr^2h.  

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