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3 years ago

What is the area of a semicircle with a diameter of 12?

Mathematics

2 answers:

sertanlavr [38]3 years ago

8 0

18 is the right answer

SOVA2 [1]3 years ago

3 0

Answer:

So, area of the semicircle = 18π mm.

Step-by-step explanation:

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a balloon at standard pressure is placed in a cool oven at 20 degrees celsius. the balloon is removed from the oven when the int

alisha [4.7K]

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Step-by-step explanation:

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3 years ago

A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

6 0

3 years ago

Find the value of X answer in simplest form

Arlecino [84]

Answer:

14.14

Step-by-step explanation:

You can find the value of x using the trig ratio Sine = opposite/hypotenuse.

The sin 45 = 10/x. Solve for x.

x= 10/ sin45

x = 10/0.707

x = 14.14

5 0

3 years ago

Can someone help me please

Morgarella [4.7K]

Answer:

<u>The volume of this figure is approximately 418.88 centimeters squared!</u>

Step-by-step explanation:

The volume for a right circular cone is V = (π)(r^2)(h/3)

Substituting known values is as follows:

V = (π)(r^2)(h/3)

V = (π)(4^2)(25/3)

V = (π)(16)(25/3)

5 0

3 years ago

Are the following similar? Why or why not

galben [10]

Answer:

yes

Explanation:

the ratios of the corresponding sides are equal: 3/2

the corresponding angles are equal

6 0

3 years ago

Read 2 more answers