Mathematics: elena wonders how much water is would take to fill her cup. she drops her pencil in her cup and notices that is just fits diagonally. (see the diagram.) the pencil is 17 cm long and the cup is 15 cm tall . how much water can the cup hold? explain your reasoning

First, find the decimal of 3/4 so that 0,75 multiplied by 500 is 375 seats are filled....

elena wonders how much water is would take to fill

Ответ:

fatty18

30.04.2021

Mathematics

The cup can hold 240π cubic centimeters of water.

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

$17^{2} =15^{2} + d^{2}$

Solving for , we have

$289 - 225 = d^{2} \\d=\sqrt{64} \\ d=8$

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

$V= \pi r^{2} h$

Where is the radius and is the height. Replacing values, we have

$V= \pi \times 4^{2} \times 15 =\pi \times 16 \times 15\\V=240\pi \ cm^{3}$

Therefore, the cup can hold 240π cubic centimeters of water.

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elena wonders how much water is would take to fill her cup. she drops her pencil in her cup and notices that is just fits diagonally. (see the diagram.) the pencil is 17 cm long and the cup is 15 cm tall . how much water can the cup hold? explain your reasoning

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