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3 years ago

The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

Answer: 125

Step-by-step explanation: you have to divide it

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I need to find the surface area. it's a cut sphere with a diameter of 14.

alex41 [277]

Given data:

The diameter of the cut sphere, D=14 in.

The radius of the cut sphere is,

$\begin{gathered} r=\frac{D}{2} \\ r=\frac{14}{2} \\ r=7\text{ in} \end{gathered}$

The cut sphere is called a hemisphere.

The surface area of a sphere is

$A_1=4\pi r^2$

So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,

$\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}$

The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,

$A_3=\pi r^2$

Therefore, the total area of the hemisphere is,

$\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}$

The total surface area of a hemisphere is,

$\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}$

Therefore, the total surface area of the cut sphere is 461.8 square inches.

6 0

1 year ago

If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?

Kipish [7]

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

5 0

3 years ago

Can someone help me solve this

Valentin [98]

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

8 0

3 years ago

Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000

jolli1 [7]

Answer:

The population of town after 1 year is 25,750 .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

The initial population of town = 25,000

Let the population of town after one year = x

So,

The population after n year = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm n}$

Or, The population after 1 year = 25,000 × $(1+\dfrac{\textrm 3}{100})^{\textrm 1}$

Or, The population after 1 year = 25,000 × $(1.03)^{1}$

Or, The population after 1 year = 25,000 × 1.03

∴ The population after 1 year = 25,750

Hence The population of town after 1 year is 25,750 . Answer

3 0

4 years ago

Given that f ( x ) = 2 x − 3 and g ( x ) = 2 x , evaluate f ( f ( 3 ) )

Anna [14]

Answer:

Step-by-step explanation:

f(3) = 2*3 -3

= 6-3=3

f(f(3)) = f(3)

so again,

f(3) = 2*3 -3

= 6-3= 3

4 0

3 years ago