Can someone translate this into a verbal expression 3(4j + 4 + j)?

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:

brainly.com/question/1780981

5 0

1 year ago

Which of the following is the conjugate of 10 – 3i?

ipn [44]

we know that

The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign

so

In this problem we have

$10-3i$

the conjugate is equal to--------> $10+3i$

therefore

<u>the answer is the option</u>

10+3i

3 0

2 years ago

Read 2 more answers

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B

GrogVix [38]

Answer:

1. D

2. B

3. C

4. A

Step-by-step explanation:

just know when the sentence says "each" or "per" next to a number, there need to be an x next to it.

In other words, I kinda just winged it :P

4 0

2 years ago

Read 2 more answers

Explain how to find the upper quartile of a box-and-whisker plot.

kirza4 [7]

B. The upper quartile is the median of the upper half of the data.

if I am wrong please let me know.

8 0

2 years ago

Read 2 more answers

The ______________ provides a single measure for a certain population, also called the average.

Sever21 [200]

The arithmetic mean provides a single measure for a certain population, also called the average.

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics.

The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean. For instance, if the data set contains 5 observations, it is possible to get the arithmetic mean by adding all 5 of the given observations and dividing by 5.

Learn more about arithmetic mean here

brainly.com/question/20118982

#SPJ4

8 0

1 year ago