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3 years ago

9

A cylinder has a base diameter of 4 centimeters and a height of 4 centimeters. What is its volume in cubic centimeters, to the n

earest tenths place

2 answers:

Bumek [7]3 years ago

7 0

Answer:

50.3 cm³

Step-by-step explanation:

Use the cylinder volume formula:

V = $\pi$ r²h, where r is the radius and h is the height.

Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.

Plug in the radius and height into the equation:

V = $\pi$ r²h

V = $\pi$ (2²)(4)

V = 16 $\pi$

V = 50.3 cm³

tankabanditka [31]3 years ago

7 0

Answer:

50.3 cm³

Step-by-step explanation:

Use the cylinder volume formula:

V = r²h, where r is the radius and h is the height.

Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.

Plug in the radius and height into the equation:

V = r²h

V = (2²)(4)

V = 16

V = 50.3 cm³

You might be interested in

The sign of the product of -35 and -625 is positive, negative, or zero

IRISSAK [1]

Answer:

Positive

Step-by-step explanation:

The product of two negative numbers has a positive sign, whereas the product of a positive and a negative number is negative.

Since -35 and -625 are both negative, they would have a positive sign for their product.

Hope this helps.

7 0

3 years ago

matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

8 0

4 years ago

8/200 as a decimals

nadya68 [22]

8 / 200 = 4 / 100 = 0.04 ;

3 0

4 years ago

Scale on a map is 1:800000. motorway is 120 km long . what distance will it be on the map

Rudik [331]

Answer:

Multiply the number of inches on the map times the scale to determine the true distance. For example, if the distance on the map was 5.5 inches and the scale was 1:6,336,000, the true distance would be 550 miles. To convert an area, convert the dimensions using the scale and then find the true area.

7 0

3 years ago

A circle is drawn within a square as shown.

Vinil7 [7]

<h3>Area of shaded region is 21.5 square centimeter</h3>

<em><u>Solution:</u></em>

The area of the shaded region is equal to the area of the square minus the area of the circle

<em><u> Find the area of the square</u></em>

$Area\ of\ square = a^2$

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

$Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2$

<em><u>Find the area of circle </u></em>

The area of the circle is given as:

$Area\ of\ circle = \pi r^2$

Where, "r" is the radius of circle

Diameter = 10 cm

$r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5$

Thus,

$Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2$

<em><u>Find the area of the shaded region</u></em>

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

7 0

3 years ago