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3 years ago

Find the surface area of a sphere to the nearest square unit 2inches

Mathematics

2 answers:

arsen [322]3 years ago

8 0

Answer:

The surface area of sphere having 2 inches radius is 50.24 inches²

Step-by-step explanation:

Given : radius of sphere = 2 inches

We have to find the surface area of the sphere

Surface area of sphere is given by :

$A=4\pi r^2$

Given radius of sphere is 2 inches

Thus, Surface area of sphere having radius 2 inches is

$\Rightarrow A=4\pi (2)^2$

Solving, we get,

$\Rightarrow A=4\pi 4$

$\Rightarrow A=16\pi$

Using $\pi=3.14$ , we get

$\Rightarrow A=16\times 3.14$

$\Rightarrow A=50.24$

Thus, the surface area of sphere having 2 inches radius is 50.24 inches²

Art [367]3 years ago

4 0

Answer:

50.24 inches² is the surface area of the sphere.

Step-by-step explanation:

we have to find the surface area of the sphere to the nearest square unit 2 inches.

Given: radius of sphere = 2 inches

we have to find the surface area

the formula to find the surface area is given below:

A = 4 π r²

where r represent the radius of sphere

putting r = 2 inches in above formula we get

A = 4π(2)²

solving we get

A = 4 π (4)

A = 16 π

using π = 3.14 we get

A = 16 × 3.14

A = 50.24 inches² is the surface area of sphere.

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Answer:

Height: 3/2 inches

Length: 12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

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The new volume of it is:

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To maximum volume, we use the first derivative of the volume

$\dfrac{dV}{dx} = 0$

<=> $12x^2-88x+105=0$

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<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

$\dfrac{d^2V}{dx^2}$ = 24x -88

If x = 3/2, we have:

$\dfrac{d^2V}{dx^2}$ = 24(3/2) -88 = -52

If x = 35/6, we have:

$\dfrac{d^2V}{dx^2}$ = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

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5 0

3 years ago

At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which

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Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

$A+B=14$

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$70A+55B=905$

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

$A=14-B$

Substitute this into the second equation: "

$70(14-B)+55B=905$

First, we can divide everything by 5 to simplify things:

$14(14-B)+11B=181$

Distribute the left:

$196-14B+11B=181$

Combine like terms:

$-3B+196=181$

Subtract 196 from both sides:

$-3B=-15$

Divide both sides by -3

$B=5$

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

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3 years ago

A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modele

aev [14]

THIS IS THE COMPLETE QUESTION

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Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

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3 years ago

Read 2 more answers