I need help pls help

Mathematics

1 answer:

sweet [91]3 years ago

6 0

Answer: 1x²+6x-1 is the answer

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A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

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

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

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2 years ago

What is thr radian measure of anangle that is 105 degrees 32

saveliy_v [14]

Formula to convert Radians to degrees or Degrees to radians:

Degree/180° = Radian/π

In the problem we have 105.32° to convert into Radian:

105.32/180 = Radian/π
And Radian = (π).(105.32)/180° = 1.838 Radian

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3 years ago

WHAT IS 14 to 35 simplest form

IRINA_888 [86]

If you mean 14/35 then it is 2/5. 14 and 35 are both divisible by 7 so 14 devided by 7 is 2 and 35 divided by 7 is 5
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3 years ago

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ABC, CBA, and CAB are three three-digit number; that is, three number between 100 and 999. If ABC-CBA= CAB,what are the three di

Mamont248 [21]

A=9
B=5
C=4

954-459=495

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