Find the distance between (-3,5) and (6,4). Round your answer to the nearest hundredth.

The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi

klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is 24.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is 24.

Learn more about the volume of a cylinder and cone at

brainly.com/question/26263468

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8 0

1 year ago

Simply the expression

____ [38]

Answer:

-63+14x

Step-by-step explanation:

7(-9+2x)=7(-9)+7(2x)=-63+14x

8 0

1 year ago

Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500seventh grade

Stells [14]

Complete Question:

Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.

Answer:

n = 696

Step-by-step explanation:

Sample size = 125

number of students out of the 125 that like Pizza = 58

Probability that a student will like pizza, P = 58/125

P = 0.464

Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:

n = 100 * P

n = 1500 * 0.464

n = 696

3 0

3 years ago

Help needed quicklyyyyyy

ryzh [129]

Answer: Don’t give any personal information out lol

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Determine an exact value for sin _ 3π/4-tan 5π/6

iris [78.8K]

Answer:

$\frac{3\sqrt{2}+2\sqrt{3}}{6}$ or $\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}$

Step-by-step explanation:

$\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}$

6 0

2 years ago