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2 years ago

Sonya is building a rectangular desk in her backyard.

Mathematics

1 answer:

anzhelika [568]2 years ago

3 0

Answer: Where is the question???

Step-by-step explanation:

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The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

Given:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

Volume of the cylinder:

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

Volume of the cone:

The formula to determine the volume of the cone is

$V=\frac{1}{3} \pi r^2 H$

Substituting $H=2h$ , we get;

$V=\frac{1}{3} \pi r^2 (2h)$

$V=\frac{2}{3} \pi r^2 h$

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0

3 years ago

C+(4-3c)-2=0 Need help

Illusion [34]

$c+(4-3c)-2=0\\ \\c+ 4-3c -2=0\\ \\c-3c=2-4\\ \\-2c=-2 \ \ /:(-2)\\\\c=1$

6 0

2 years ago

kupik [55]

Using inductive reasoning, the best answer from the given shapes is:
B) In a parallelogram, consecutive angles are supplementary.

7 0

3 years ago

Will mark as brainliest plz help

RUDIKE [14]

Answer:

30 is answer bro

Step-by-step explanation:

hope it wI'll help u

5 0

2 years ago

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What is the equation of the line in slope-intercept form?

stepladder [879]

Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5

6 0

2 years ago

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