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4 years ago

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A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of

the cylinder and the cone.
( aahh please help me!! >.< )

1 answer:

never [62]4 years ago

8 0

Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2} h$

$Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}$

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

$\pi = 3.14$

Thus

$Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2$

= 62.8 cm³

Thus the volume of a cylinder is 62.8 cm³ .

$Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}$

$Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}$

$Volume\ of\ a\ cone =\frac{62.8}{3}$

= 20.9 (Approx) cm³

Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

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OLEGan [10]

Answer:

Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

Step-by-step explanation:

It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.

The volume of the cylinder is

$V=\pi r^2h$

Where, r is radius and h is height of the cylinder.

Substitute r=4, h=4, π=3.14 in the above formula.

$V=(3.14)\times (4)^2\times (4)$

$V=200.96$

The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

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4 years ago

Please solve with explanation (high points)

Dmitrij [34]

Answer:

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2 years ago

on a lake, Carol rowed a boat for 1/8 mile. Then luke rowed the boat for 3/8 mile. how far did carol and like row in all? simpli

Semmy [17]

Answer:

$Total = \frac{1}{2}$

Step-by-step explanation:

Given

$Carol = \frac{1}{8}$

$Luke = \frac{3}{8}$

Required

How far did they row together

To do this, we simply add the distance they both covered.

$Total = Carol + Luke$

This gives;

$Total = \frac{1}{8} + \frac{3}{8}$

Take LCM

$Total = \frac{1+3}{8}$

$Total = \frac{4}{8}$

Simplify

$Total = \frac{1}{2}$

<em>Hence, they both rowed 1/2 mile</em>

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3 years ago

Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the

Karolina [17]

The regression equation is $\^y = 1.56\^x + 1.29$ , and it will take 31 weeks to have $50.00

<u>(a) The linear regression equation</u>

To do this, we make use of a graphing calculator;

From the graphing calculator, we have the following calculation summary:

The sum of X = 45
The sum of Y = 83
Mean X = 4.5
Mean Y = 8.3
Sum of squares (SSX) = 82.5
Sum of products (SP) = 128.5

The regression equation is then represented as:

$\^y = b\^x + a$

Where:

$b = \frac{SP}{SSX}$ and $a = M_Y - bM_X$

So, we have:

$b = \frac{128.5}{82.5}$

$b = 1.55758$

Approximate

$b = 1.56$

$a= 8.3 - (1.56 \times 4.5)$

$a= 1.29091$

Approximate

$a= 1.29$

This means that, the regression equation is $\^y = 1.56\^x + 1.29$

<u>(b) Predict the time to have $50.00</u>

This means that:

$\^y = 50$

So, we have:

$50 = 1.56\^x + 1.29$

Subtract 1.29 from both sides

$48.71 = 1.56\^x$

Divide both sides by 1.56

$31.22 = \^x$

Rewrite as:

$\^x = 31.22$

Approximate

$\^x = 31$

Hence, it will take 31 weeks to have $50.00

Read more about linear regression models at:

brainly.com/question/14585820

8 0

2 years ago

The vertex of a parabola is at (8,-1)and its y-interpret is-17. Which function represents the parabola

Ilia_Sergeevich [38]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

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y = a(x - 8)² - 1

To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.

- 17 = a(0 - 8)² - 1

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4 years ago